If a US gallon¹³ has a volume of 0.134 ft³ and a human mouth has a volume of 0.900 in³, then how many mouthfuls of water are required to fill a 5.00 US gallon can? (A: 1.29 × 10³ mouthfuls)

Assume that on the surface of the Earth, g = 9.81 m/s² = 32.2 ft/s² (i.e., each to three significant figures). Make sure you are reporting the solution to the proper number of significant figures.