157000 has 32 divisors (see below), whose sum is σ = 369720. Its totient is φ = 62400.

The previous prime is 156979. The next prime is 157007. The reversal of 157000 is 751.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 125316 = 178^2 + 354^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (157007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 1078.

2¹⁵⁷⁰⁰⁰ is an apocalyptic number.

157000 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 157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184860).

157000 is an abundant number, since it is smaller than the sum of its proper divisors (212720).

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

157000 is a wasteful number, since it uses less digits than its factorization.

157000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 157000 is about 396.2322551232. The cubic root of 157000 is about 53.9469071211.

Adding to 157000 its reverse (751), we get a palindrome (157751).

The spelling of 157000 in words is "one hundred fifty-seven thousand".