For full saturation multiply the base current by more than that - 4 or 5 times perhaps, so try a 330 or 470 ohm. It you don't fully saturate the transistor its collector-emitter voltage won't go right down to 0.1V or so and it will dissipate a bit more heat. Here that won't matter as the current is only 0.13A, but when you are switching really large currents this will matter more.
Also in those circumstances you'll need to look at the details of DC gain v. collector current in the datasheet - at high currents the gain can fall noticeably.