157437196800 has 480 divisors, whose sum is σ = 563636924928. Its totient is φ = 38508625920.

The previous prime is 157437196771. The next prime is 157437196823. The reversal of 157437196800 is 8691734751.

It is a happy number.

157437196800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86360689 + ... + 86362511.

Almost surely, 2^157437196800 is an apocalyptic number.

157437196800 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 157437196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281818462464).

157437196800 is an abundant number, since it is smaller than the sum of its proper divisors (406199728128).

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

157437196800 is a wasteful number, since it uses less digits than its factorization.

157437196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 157437196800 in words is "one hundred fifty-seven billion, four hundred thirty-seven million, one hundred ninety-six thousand, eight hundred".