156390400 has 132 divisors (see below), whose sum is σ = 399779100. Its totient is φ = 60620800.

The previous prime is 156390391. The next prime is 156390407. The reversal of 156390400 is 4093651.

It can be written as a sum of positive squares in 6 ways, for example, as 56070144 + 100320256 = 7488^2 + 10016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156390407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049526 + ... + 1049674.

Almost surely, 2^156390400 is an apocalyptic number.

156390400 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 156390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199889550).

156390400 is an abundant number, since it is smaller than the sum of its proper divisors (243388700).

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

156390400 is a wasteful number, since it uses less digits than its factorization.

156390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 156390400 is about 12505.6147389882. The cubic root of 156390400 is about 538.7699482819.

The spelling of 156390400 in words is "one hundred fifty-six million, three hundred ninety thousand, four hundred".