157977216 has 112 divisors (see below), whose sum is σ = 472143210. Its totient is φ = 52627968.

The previous prime is 157977203. The next prime is 157977221. The reversal of 157977216 is 612779751.

157977216 is a `hidden beast` number, since 1 + 579 + 7 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 16842816 = 11880^2 + 4104^2 .

It is a super-2 number, since 2×157977216² = 49913601550221312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92466 + ... + 94158.

Almost surely, 2^157977216 is an apocalyptic number.

157977216 is a gapful number since it is divisible by the number (16) 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 157977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236071605).

157977216 is an abundant number, since it is smaller than the sum of its proper divisors (314165994).

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

157977216 is an frugal number, since it uses more digits than its factorization.

157977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1698 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 157977216 is about 12568.8987584434. The cubic root of 157977216 is about 540.5860304520.

The spelling of 157977216 in words is "one hundred fifty-seven million, nine hundred seventy-seven thousand, two hundred sixteen".