157092 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 44928.

The previous prime is 157081. The next prime is 157103. The reversal of 157092 is 290751.

It is an interprime number because it is at equal distance from previous prime (157081) and next prime (157103).

It is a super-3 number, since 3×157092³ = 11630100333968064, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2938 + ... + 2990.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁵⁷⁰⁹² is an apocalyptic number.

157092 is a gapful number since it is divisible by the number (12) 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 157092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

157092 is an abundant number, since it is smaller than the sum of its proper divisors (266268).

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

157092 is a wasteful number, since it uses less digits than its factorization.

157092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 157092 is about 396.3483316478. The cubic root of 157092 is about 53.9574424636.

The spelling of 157092 in words is "one hundred fifty-seven thousand, ninety-two".