125893528164 has 72 divisors (see below), whose sum is σ = 328802265792. Its totient is φ = 40592784960.

The previous prime is 125893528133. The next prime is 125893528183. The reversal of 125893528164 is 461825398521.

125893528164 is a `hidden beast` number, since 1 + 2 + 58 + 9 + 3 + 528 + 1 + 64 = 666.

125893528164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125893528164² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 125893528164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329194 + ... + 600129.

It is an arithmetic number, because the mean of its divisors is an integer number (4566698136).

Almost surely, 2^125893528164 is an apocalyptic number.

It is an amenable number.

125893528164 is an abundant number, since it is smaller than the sum of its proper divisors (202908737628).

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

125893528164 is a wasteful number, since it uses less digits than its factorization.

125893528164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929457 (or 929452 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 125893528164 in words is "one hundred twenty-five billion, eight hundred ninety-three million, five hundred twenty-eight thousand, one hundred sixty-four".