125133402564 has 243 divisors, whose sum is σ = 349003382637. Its totient is φ = 37796625216.

The previous prime is 125133402553. The next prime is 125133402601. The reversal of 125133402564 is 465204331521.

The square root of 125133402564 is 353742.

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

125133402564 is a `hidden beast` number, since 1 + 2 + 51 + 3 + 3 + 40 + 2 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65616920964 + 59516481600 = 256158^2 + 243960^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1169470999 + ... + 1169471105.

Almost surely, 2^125133402564 is an apocalyptic number.

125133402564 is the 353742-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125133402564

125133402564 is an abundant number, since it is smaller than the sum of its proper divisors (223869980073).

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

125133402564 is a wasteful number, since it uses less digits than its factorization.

125133402564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 125133402564 by its sum of digits (36), we get a square (4504802492304 = 2122452²).

125133402564 divided by its sum of digits (36) gives a square (3475927849 = 58957²).

The spelling of 125133402564 in words is "one hundred twenty-five billion, one hundred thirty-three million, four hundred two thousand, five hundred sixty-four".