156432906256 has 135 divisors (see below), whose sum is σ = 340301423959. Its totient is φ = 69610816000.

The previous prime is 156432906241. The next prime is 156432906293. The reversal of 156432906256 is 652609234651.

The square root of 156432906256 is 395516.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9897066256 + 146535840000 = 99484^2 + 382800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1548840606 + ... + 1548840706.

Almost surely, 2^156432906256 is an apocalyptic number.

156432906256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156432906256 is the 395516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156432906256

156432906256 is an abundant number, since it is smaller than the sum of its proper divisors (183868517703).

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

156432906256 is an equidigital number, since it uses as much as digits as its factorization.

156432906256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 49.

Multiplying 156432906256 by its sum of digits (49), we get a square (7665212406544 = 2768612²).

The spelling of 156432906256 in words is "one hundred fifty-six billion, four hundred thirty-two million, nine hundred six thousand, two hundred fifty-six".