157700 has 36 divisors (see below), whose sum is σ = 364560. Its totient is φ = 59040.

The previous prime is 157679. The next prime is 157721. The reversal of 157700 is 7751.

It is an interprime number because it is at equal distance from previous prime (157679) and next prime (157721).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1859 + ... + 1941.

2¹⁵⁷⁷⁰⁰ is an apocalyptic number.

157700 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 157700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182280).

157700 is an abundant number, since it is smaller than the sum of its proper divisors (206860).

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

157700 is a wasteful number, since it uses less digits than its factorization.

157700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 20.

The square root of 157700 is about 397.1145930333. The cubic root of 157700 is about 54.0269641285.

The spelling of 157700 in words is "one hundred fifty-seven thousand, seven hundred".