156325344400 has 135 divisors (see below), whose sum is σ = 383820602529. Its totient is φ = 61185845760.

The previous prime is 156325344337. The next prime is 156325344407. The reversal of 156325344400 is 4443523651.

The square root of 156325344400 is 395380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 57990419344 + 98334925056 = 240812^2 + 313584^2 .

It is a super-2 number, since 2×156325344400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 156325344400.

It is not an unprimeable number, because it can be changed into a prime (156325344407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 419102614 + ... + 419102986.

Almost surely, 2^156325344400 is an apocalyptic number.

156325344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156325344400 is the 395380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156325344400

156325344400 is an abundant number, since it is smaller than the sum of its proper divisors (227495258129).

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

156325344400 is an frugal number, since it uses more digits than its factorization.

156325344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 156325344400 in words is "one hundred fifty-six billion, three hundred twenty-five million, three hundred forty-four thousand, four hundred".