157662180 has 192 divisors, whose sum is σ = 543406080. Its totient is φ = 37698048.

The previous prime is 157662173. The next prime is 157662181. The reversal of 157662180 is 81266751.

157662180 is a `hidden beast` number, since 1 + 576 + 6 + 2 + 1 + 80 = 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 (157662181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 259437 + ... + 260043.

It is an arithmetic number, because the mean of its divisors is an integer number (2830240).

Almost surely, 2^157662180 is an apocalyptic number.

157662180 is a gapful number since it is divisible by the number (10) 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 157662180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271703040).

157662180 is an abundant number, since it is smaller than the sum of its proper divisors (385743900).

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

157662180 is a wasteful number, since it uses less digits than its factorization.

157662180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 157662180 is about 12556.3601413786. The cubic root of 157662180 is about 540.2264482359.

The spelling of 157662180 in words is "one hundred fifty-seven million, six hundred sixty-two thousand, one hundred eighty".