157680432 has 300 divisors, whose sum is σ = 574713216. Its totient is φ = 41368320.

The previous prime is 157680431. The next prime is 157680437. The reversal of 157680432 is 234086751.

157680432 is a `hidden beast` number, since 1 + 576 + 80 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157680431) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 825457 + ... + 825647.

Almost surely, 2^157680432 is an apocalyptic number.

157680432 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 157680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287356608).

157680432 is an abundant number, since it is smaller than the sum of its proper divisors (417032784).

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

157680432 is a wasteful number, since it uses less digits than its factorization.

157680432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 157680432 is about 12557.0869233274. The cubic root of 157680432 is about 540.2472941412.

The spelling of 157680432 in words is "one hundred fifty-seven million, six hundred eighty thousand, four hundred thirty-two".