157638432 has 96 divisors (see below), whose sum is σ = 489283200. Its totient is φ = 43481088.

The previous prime is 157638431. The next prime is 157638469. The reversal of 157638432 is 234836751.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (157638431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15444 + ... + 23532.

It is an arithmetic number, because the mean of its divisors is an integer number (5096700).

Almost surely, 2^157638432 is an apocalyptic number.

157638432 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 157638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244641600).

157638432 is an abundant number, since it is smaller than the sum of its proper divisors (331644768).

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

157638432 is a wasteful number, since it uses less digits than its factorization.

157638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8138 (or 8130 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 157638432 is about 12555.4144495512. The cubic root of 157638432 is about 540.1993228511.

The spelling of 157638432 in words is "one hundred fifty-seven million, six hundred thirty-eight thousand, four hundred thirty-two".