157132800 has 432 divisors, whose sum is σ = 633709440. Its totient is φ = 36864000.

The previous prime is 157132799. The next prime is 157132837. The reversal of 157132800 is 8231751.

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, 5068785 + ... + 5068815.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 2^157132800 is an apocalyptic number.

157132800 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 157132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

157132800 is an abundant number, since it is smaller than the sum of its proper divisors (476576640).

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

157132800 is a wasteful number, since it uses less digits than its factorization.

157132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157132800 is about 12535.2622629126. The cubic root of 157132800 is about 539.6211334245.

The spelling of 157132800 in words is "one hundred fifty-seven million, one hundred thirty-two thousand, eight hundred".