From Seth
"The amplifier is likely hot due to producing a solid tone for extended periods of time. When listening to music or watching movies the amplifier isn't working constantly, but when there's a ground issue the subwoofer is constantly outputting the same signal, in your case possibly hours before you unplugged it. Any humming subwoofer will run warm/hot.
I'm not certain what could have changed that made the subwoofer start humming, but from what you've described it certainly sounds like it was grounded, but now it's not for some reason.
Also, think of a lightbulb. You turn it on for just a second, and back off, and back on, and off every few seconds for a couple of minutes. When it's off you touch it, it's relatively cool. Leave it on for 30 seconds, and shut it off. It's going to be warmer than it was when you kept turning it on and off."
You nailed it. I had a similar situation with my x-sub and the amp got pretty hot even with the system off before I fixed it.
OP, you could buy a cheater plug (3 prong to 2 prong adapter) for a buck or two from a hardware store and give it a try. If that fixes the hum, then it confirms a ground loop.