Many times when one plays "louder", it's to get more detail, which is generally a function of your speakers.
Let's clear up a few misconceptions.
1) Just because your speakers can handle 240 watts, that doesn't mean that you need to feed them all those watts. If your car tires are rated for 189 mph, does that mean you need to drive at that speed to get the most out of them?
2) As for the power rating in that Sony receiver (and many others as well), that 150 watts is misleading. That means that any one channel, driven individually, is capable of putting out that 150 watts. ..and that, in this case, assumes you're listening to a steady 1 khz tone. When you deal with a full-range music signal, which contains many different frequencies at the same time, that figure drops significantly. When you factor in that you're driving more than one channel simultaneously, which puts a draw on the amp's power supply, that power figure drops again. Let's not even get too involved with that distortion figure.
3) A good reason that some people pay more for a receiver is because it may offer certain features that they need or want, such as multi-zone capability, wi-fi, room correction, HDMI 2.2, preamp outs, and many, many more. Please note that as you go up the line of a manufacturer, the power doesn't increase as much as the feature count.
FWIW, If you look at that blue link at the bottom of the page, it will show you my systems. Please note that my 13 year-old Denon HT receiver is rated for 80 wpc and plays my Athena speakers louder than I can stand, and cleanly, too.
Looking at your system (and it's quite good), more watts would not hurt, and might even help somewhat, but don't expect an epiphany in terms of sound quality. Just make sure you get one with preamp outputs, in case you want even more power.
If you do choose to upgrade and don't mind good, guaranteed refurbs, this is a goreat place to make your purchase. Many of us are satisfied customers.
http://www.accessories4less.com/