Powershell module for managing retrieving and removing paused devices from PRTG : http://wragg.io/clean-up-paused-devices-from-prtg-with-powershell/

PRTGPausedDevices.psm1

Function Get-PRTGPausedDevice{
    [CmdletBinding()]
    Param(
        $PRTGURL = "prtg.yourcompany.com",
        $Username = "youruser",
        $Passhash = "yourpasshash",
        $Name,
        $Message,
        [int]$DaysPaused #Use -1 to filter for where date is unknown and 0 to return all
    )
    Begin{
        $Devices = $null
    }
    Process{
        $Devices = (Invoke-RestMethod "https://$PRTGURL/api/table.json?content=devices&output=json&columns=objid,device,status_raw,message&count=99999&username=$Username&passhash=$Passhash").devices
        $Devices = $Devices | Where-Object {($_.status_raw -eq 7) -and ($_.device -notlike "*Template*")} | Select objid, device, message, status
    
        #Filtering list based on provided parameters
        If ($Name -ne "")       { $Devices = $Devices | Where-Object {$_.device -like "*$Name*"} }
        If ($Message -ne "")    { $Devices = $Devices | Where-Object {$_.message -like "*$Message*"} }
    
        $Devices | ForEach-Object {

            $DatePaused = ($_.message | Select-String -Pattern "(?<=Paused at )(.*?)(?= by)" -AllMatches | % { $_.Matches } | % { $_.Value })
            If ($DatePaused) { $DatePaused = [DateTime]::Parse($DatePaused,([Globalization.CultureInfo]::CreateSpecificCulture("$((get-culture).name)"))) }
            $_ | Add-Member –MemberType NoteProperty –Name "paused" –Value $DatePaused -Force
            $_ | Add-Member –MemberType NoteProperty –Name "PRTGURL" –Value $PRTGURL -Force
            $_ | Add-Member –MemberType NoteProperty –Name "username" –Value $Username -Force
            $_ | Add-Member –MemberType NoteProperty –Name "passhash" –Value $Passhash -Force
            $_.message = $_.message -replace '<[^>]+>',''

        }

        If ($DaysPaused -gt 0)  { $Devices = $Devices | Where-Object {($_.paused -lt $(get-date).adddays(-$DaysPaused)) -and ($_.paused -is [System.DateTime])} }
        If ($DaysPaused -eq -1) { $Devices = $Devices | Where-Object {$_.paused -isnot [System.DateTime]} }
    }
    End{
        $Devices.PSObject.TypeNames.Insert(0,'PRTG.PausedDevice')
        $defaultDisplaySet = 'device','message','paused'
        $defaultDisplayPropertySet = New-Object System.Management.Automation.PSPropertySet(‘DefaultDisplayPropertySet’,[string[]]$defaultDisplaySet)
        $PSStandardMembers = [System.Management.Automation.PSMemberInfo[]]@($defaultDisplayPropertySet)
        $Devices | Add-Member MemberSet PSStandardMembers $PSStandardMembers

        Return $Devices
    }
}


Function Remove-PRTGPausedDevice{
    [CmdletBinding(SupportsShouldProcess = $true,ConfirmImpact='High')]
    Param(
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$PRTGURL,
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$Username,
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$Passhash,
        $Name,
        $Message,
        $DaysPaused, #Use -1 to filter for where date is unknown and 0 to return all
        [int][Parameter(ValueFromPipelineByPropertyName=$True)]$objid

    )
    Begin{
        $Devices = $null
        $i = 0
        
        If ($Name -or $Message -or $DaysPaused){
            $Devices = (Invoke-RestMethod "https://$PRTGURL/api/table.json?content=devices&output=json&columns=objid,device,status_raw,message&count=99999&username=$Username&passhash=$Passhash").devices
            $Devices = $Devices | Where-Object {($_.status_raw -eq 7) -and ($_.device -notlike "*Template*")}
    
            #Filtering list based on provided parameters
            If ($Name -ne "")       { $Devices = $Devices | Where-Object {$_.device -like "*$Name*"} }
            If ($Message -ne "")    { $Devices = $Devices | Where-Object {$_.message -like "*$Message*"} }
           
            $Devices | ForEach-Object {

                $DatePaused = ($_.message | Select-String -Pattern "(?<=Paused at )(.*?)(?= by)" -AllMatches | % { $_.Matches } | % { $_.Value })
                If ($DatePaused) { $DatePaused = [DateTime]::Parse($DatePaused,([Globalization.CultureInfo]::CreateSpecificCulture("$((get-culture).name)"))) }
                $_ | Add-Member –MemberType NoteProperty –Name "paused" –Value $DatePaused -Force
            }

            If ($DaysPaused -gt 0)  { $Devices = $Devices | Where-Object {($_.paused -lt $(get-date).adddays(-$DaysPaused)) -and ($_.paused -is [System.DateTime])} }
            If ($DaysPaused -eq -1) { $Devices = $Devices | Where-Object {$_.paused -isnot [System.DateTime]} }

            #Remove HTML from Messages
            $Devices | ForEach-Object {$_.message = $_.message -replace '<[^>]+>',''}

            #Output list of devices and total to console to assist confirmation
            $Devices | Select device, paused, message | Sort paused | FT
            Write-Warning "$($Devices.Count) devices will be deleted."
        }
    }
    Process{

        If ($Devices){$Input = $Devices}

        $Input | ForEach-Object {
        
            If ($PSCmdlet.ShouldProcess("$($_.device)","PRTG: Delete Object"))
            {
                $i++
                Write-Progress -Activity "Removing $($_.device) from $PRTGURL"
                Invoke-RestMethod "https://$PRTGURL/api/deleteobject.htm?id=$($_.objid)&approve=1&username=$Username&passhash=$Passhash" | out-null
                
            }
        }
    }
    End{
        Write-Output "$i devices removed."
    }
}


Function Remove-PRTGDevice{
    [CmdletBinding(SupportsShouldProcess = $true,ConfirmImpact='High')]
    Param(
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$PRTGURL,
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$Username,
        [Parameter(Mandatory=$True,ValueFromPipelineByPropertyName=$True)]$Passhash,
        [Parameter(Mandatory=$True, ValueFromPipelineByPropertyName=$True)]$objid
    )
    $Count = $input.Count
    $i = 0
    
    $input | ForEach-Object {
        
        If ($PSCmdlet.ShouldProcess("$($_.device)","PRTG: Delete Object"))
        {
            $i ++
            Write-Progress -Activity "Removing $($_.objid) : $($_.device) frin $PRTGURL" -Status "$i of $Count" -PercentComplete (($i/$Count)*100)
            Invoke-RestMethod "https://$PRTGURL/api/deleteobject.htm?id=$($_.objid)&approve=1&username=$Username&passhash=$Passhash" | Out-Null
        }
    }
    Write-Output "$i devices removed."   
}