That's a ratio of about 13:1, which is no big deal. You could probably even do it with an ordinary, non-worm reducer. You'll have to use a little bit higher ratio than 13 to figure for losses due to efficiency and maybe add an additional safety factor, depending on what type of load you have.
Remember that an increase in torque means a corresponding decrease in rpm.
Also remember that the motor rating is just the *maximum* torque possible on the motor end. The actual torque depends on the load. Keep this in mind when selecting a gearbox in case you ever encounter a locked-rotor condition. You don't want the output torque to become so high that you destroy something. For example, if you simply guessed and picked out a 50:1 worm drive to have plenty of torque, a locked-up mechanism would then see about 50 x 1500 = 75,000 ft-lbs of torque (neglecting efficiency). This might be more than some parts of your gear train can handle.
Don
Kansas City