Has anyone experienced this phenomenon on a 2015 Toyota Prado 150 when the car radio stops working. It just doesn't display anything, but it responds to the buttons. Do I need to replace it with a new one?

Maybe you have a problem with the display, if the picture does not give out, perhaps only a loose cable from the monitor. If the problem persists, then the problem is more global.

I tried to disassemble the car radio completely, but it does not solve the problem. That is, the monitor did not work, and does not work. Is there any other way to solve this problem?

You may try to replace the display for a new one. It seems that the bus line for display connection has been broken while joggling. But you'll pay almost the same money to replace your display than you'll buy a new and of better quality. So, just buy Toyota Land Cruiser Prado 150 2014-2017 Android for car https://smarty-trend.com/toyota-land-cruiser-prado-150-2014-2017/4494-toyota-land-cruiser-prado-150-2014-2017-android-car-stereo-navigation-in-dash-head-unit.html It completely suits your car and is more convenient than original one as it's got more functions.