156413600 has 288 divisors, whose sum is σ = 485968896. Its totient is φ = 47923200.

The previous prime is 156413591. The next prime is 156413629. The reversal of 156413600 is 6314651.

It is a self number, because there is not a number n which added to its sum of digits gives 156413600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2951174 + ... + 2951226.

It is an arithmetic number, because the mean of its divisors is an integer number (1687392).

Almost surely, 2^156413600 is an apocalyptic number.

156413600 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 156413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242984448).

156413600 is an abundant number, since it is smaller than the sum of its proper divisors (329555296).

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

156413600 is a wasteful number, since it uses less digits than its factorization.

156413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 156413600 is about 12506.5422879387. The cubic root of 156413600 is about 538.7965885462.

The spelling of 156413600 in words is "one hundred fifty-six million, four hundred thirteen thousand, six hundred".