157180 has 24 divisors (see below), whose sum is σ = 342720. Its totient is φ = 60480.

The previous prime is 157177. The next prime is 157181. The reversal of 157180 is 81751.

157180 = T₈₇ + T₈₈ + ... + T₁₁₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 445 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (14280).

2¹⁵⁷¹⁸⁰ is an apocalyptic number.

157180 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 157180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

157180 is an abundant number, since it is smaller than the sum of its proper divisors (185540).

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

157180 is a wasteful number, since it uses less digits than its factorization.

157180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 157180 is about 396.4593295661. The cubic root of 157180 is about 53.9675158995.

The spelling of 157180 in words is "one hundred fifty-seven thousand, one hundred eighty".