157252800 has 126 divisors (see below), whose sum is σ = 518786364. Its totient is φ = 41702400.

The previous prime is 157252789. The next prime is 157252853. The reversal of 157252800 is 8252751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 868710 + ... + 868890.

Almost surely, 2^157252800 is an apocalyptic number.

157252800 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 157252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259393182).

157252800 is an abundant number, since it is smaller than the sum of its proper divisors (361533564).

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

157252800 is an equidigital number, since it uses as much as digits as its factorization.

157252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 157252800 is about 12540.0478467987. The cubic root of 157252800 is about 539.7584653692.

The spelling of 157252800 in words is "one hundred fifty-seven million, two hundred fifty-two thousand, eight hundred".