150045951470400 has 252 divisors, whose sum is σ = 533564032838304. Its totient is φ = 39992349312000.

The previous prime is 150045951470399. The next prime is 150045951470477. The reversal of 150045951470400 is 4074159540051.

150045951470400 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 4 + 595 + 14 + 7 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×150045951470400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26367685 + ... + 31549115.

Almost surely, 2^{150045951470400} is an apocalyptic number.

150045951470400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150045951470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266782016419152).

150045951470400 is an abundant number, since it is smaller than the sum of its proper divisors (383518081367904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

150045951470400 is a wasteful number, since it uses less digits than its factorization.

150045951470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183470 (or 5183452 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 150045951470400 in words is "one hundred fifty trillion, forty-five billion, nine hundred fifty-one million, four hundred seventy thousand, four hundred".