Motu Patlu and the Code Number

Motu and Patlu, out of curiosity, went to one of the haunted Pyramid of Egypt and now they are trapped inside one of the dungeons inside Pyramid. There is only one way out of the pyramid and that is to provide the right code number to the door. There are certain $distinct$ $numbers$ written on the door and the code number is the number of $distinct$ $triplets$ whose $product$ is equal to a certai