157890032 has 40 divisors (see below), whose sum is σ = 323312640. Its totient is φ = 74543040.

The previous prime is 157890017. The next prime is 157890049. The reversal of 157890032 is 230098751.

157890032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×157890032² = 49858524409922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157889974 and 157890001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26357 + ... + 31787.

It is an arithmetic number, because the mean of its divisors is an integer number (8082816).

Almost surely, 2^157890032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157890032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161656320).

157890032 is an abundant number, since it is smaller than the sum of its proper divisors (165422608).

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

157890032 is a wasteful number, since it uses less digits than its factorization.

157890032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 157890032 is about 12565.4300364134. The cubic root of 157890032 is about 540.4865664778.

The spelling of 157890032 in words is "one hundred fifty-seven million, eight hundred ninety thousand, thirty-two".