157932 has 36 divisors (see below), whose sum is σ = 412776. Its totient is φ = 50880.

The previous prime is 157931. The next prime is 157933. The reversal of 157932 is 239751.

157932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157931) and next prime (157933).

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 157896 and 157905.

It is not an unprimeable number, because it can be changed into a prime (157931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹⁵⁷⁹³² is an apocalyptic number.

157932 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 157932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

157932 is an abundant number, since it is smaller than the sum of its proper divisors (254844).

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

157932 is a wasteful number, since it uses less digits than its factorization.

157932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 157932 is about 397.4065927989. The cubic root of 157932 is about 54.0534450292.

It can be divided in two parts, 157 and 932, that added together give a square (1089 = 33²).

The spelling of 157932 in words is "one hundred fifty-seven thousand, nine hundred thirty-two".