157160800 has 72 divisors (see below), whose sum is σ = 386506512. Its totient is φ = 62400000.

The previous prime is 157160791. The next prime is 157160803. The reversal of 157160800 is 8061751.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157160803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120150 + ... + 121450.

It is an arithmetic number, because the mean of its divisors is an integer number (5368146).

Almost surely, 2^157160800 is an apocalyptic number.

157160800 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 157160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253256).

157160800 is an abundant number, since it is smaller than the sum of its proper divisors (229345712).

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

157160800 is a wasteful number, since it uses less digits than its factorization.

157160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 157160800 is about 12536.3790625523. The cubic root of 157160800 is about 539.6531837971.

The spelling of 157160800 in words is "one hundred fifty-seven million, one hundred sixty thousand, eight hundred".