156972816 has 400 divisors, whose sum is σ = 615043968. Its totient is φ = 37635840.

The previous prime is 156972811. The next prime is 156972847. The reversal of 156972816 is 618279651.

156972816 is a `hidden beast` number, since 1 + 569 + 7 + 2 + 81 + 6 = 666.

Its product of digits (181440) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (156972811) 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 79 ways as a sum of consecutive naturals, for example, 12074826 + ... + 12074838.

Almost surely, 2^156972816 is an apocalyptic number.

156972816 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 156972816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307521984).

156972816 is an abundant number, since it is smaller than the sum of its proper divisors (458071152).

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

156972816 is a wasteful number, since it uses less digits than its factorization.

156972816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 156972816 is about 12528.8792794886. The cubic root of 156972816 is about 539.4379336872.

The spelling of 156972816 in words is "one hundred fifty-six million, nine hundred seventy-two thousand, eight hundred sixteen".