157332038400 has 648 divisors, whose sum is σ = 595607659920. Its totient is φ = 39512309760.

The previous prime is 157332038399. The next prime is 157332038441. The reversal of 157332038400 is 4830233751.

157332038400 is a `hidden beast` number, since 1 + 573 + 3 + 2 + 0 + 3 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254994892 + ... + 254995508.

Almost surely, 2^157332038400 is an apocalyptic number.

157332038400 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 157332038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297803829960).

157332038400 is an abundant number, since it is smaller than the sum of its proper divisors (438275621520).

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

157332038400 is a wasteful number, since it uses less digits than its factorization.

157332038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 157332038400 in words is "one hundred fifty-seven billion, three hundred thirty-two million, thirty-eight thousand, four hundred".