It says what the engine's WOT RPM should be right on the transom bracket where the serial number is. Their's really no good way to "calculate" what pitch prop you will need when you're re powering an existing boat with a different HP outboard. You're going to want to just test it out as is, and prop it out accordingly from there. Each inch in pitch will change your RPM by about 200-300.
So as an example, let's say you test out the boat with the new 150 and 19 pitch prop. You get it on plane and at full throttle, fully trimmed out, you're getting a maximum RPM of 4800. Let's say the engine calls for around 5,500 RPM. That means you're going to want to step down to something like a 16 pitch prop (of the same diameter) to get within range.