It's more than a matter of inflation, it's also a matter of tire cross section, especially at your weight.
Just as you wouldn't put sports car tires on a truck, you shouldn't be riding on tires made for someone weighing 160 pounds, regardless of pressure.
Here's a short guide to tire pressure for a variety of weights and cross- sections. Don't take the numbers as gospel, but as a starting place for finding the best pressure for your needs and tastes.
I personally don't like to ride hyper inflated tires because cornering traction suffers too much, so I look for tires that will support my weight at 90-105psi.
On my commuter, I'm riding fairly wide mtb (smooth tread) tires at much lower pressures (50-65psi) giving me more freedom to not woeey about the roads with no meaningful increase in rolling resistance.