156750650400100 has 81 divisors (see below), whose sum is σ = 342173736397857. Its totient is φ = 62329217143680.

The previous prime is 156750650400089. The next prime is 156750650400151. The reversal of 156750650400100 is 1004056057651.

The square root of 156750650400100 is 12520010.

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

156750650400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 12221974048036 + 144528676352064 = 3495994^2 + 12022008^2 .

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, 21659613682 + ... + 21659620918.

Almost surely, 2^{156750650400100} is an apocalyptic number.

156750650400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

156750650400100 is the 12520010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156750650400100

156750650400100 is an abundant number, since it is smaller than the sum of its proper divisors (185423085997757).

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

156750650400100 is an frugal number, since it uses more digits than its factorization.

156750650400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14834 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 156750650400100 in words is "one hundred fifty-six trillion, seven hundred fifty billion, six hundred fifty million, four hundred thousand, one hundred".