First, let's get a few things straight. This designed to be LOUD and fill a room with PA quality sound, not "hi fi" sound. It's got a rated response of 65 -20k +/- 10 decibels. That's not "hi-fi" That's designed for voice, not music.
As for power, it states program and peak power. "Program" means it should be able to handle this many CLEAN (not clipped) watts before giving up the ghost. And there's no guarantee it will sound decent while doing so. And, even though your RS amp is "only" rated for 125 wpc, you could still possibly damage your speakers if you overdrive it. Speakers don't handle clipped amps too well. IF it starts to sound bad, turn it down immediately.
"Peak" means it SHOULD be able to survive this much power for, oh, maybe a second or so, before croaking.
As for subs, to keep up with the volume level this beast can deliver (within it's range), you're gonna need a mega sub, probably a couple of bass bins and the required electronics.