156972600 has 192 divisors, whose sum is σ = 554652000. Its totient is φ = 40780800.

The previous prime is 156972589. The next prime is 156972601. The reversal of 156972600 is 6279651.

156972600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156972601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221046 + ... + 221754.

Almost surely, 2^156972600 is an apocalyptic number.

156972600 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 156972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277326000).

156972600 is an abundant number, since it is smaller than the sum of its proper divisors (397679400).

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

156972600 is a wasteful number, since it uses less digits than its factorization.

156972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 156972600 is about 12528.8706594010. The cubic root of 156972600 is about 539.4376862587.

The spelling of 156972600 in words is "one hundred fifty-six million, nine hundred seventy-two thousand, six hundred".