125145504 has 72 divisors (see below), whose sum is σ = 388245312. Its totient is φ = 37921920.

The previous prime is 125145487. The next prime is 125145509. The reversal of 125145504 is 405541521.

125145504 is a `hidden beast` number, since 12 + 5 + 145 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×125145504² = 31322794342828032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (125145509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16584 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (5392296).

Almost surely, 2^125145504 is an apocalyptic number.

It is an amenable number.

125145504 is an abundant number, since it is smaller than the sum of its proper divisors (263099808).

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

125145504 is a wasteful number, since it uses less digits than its factorization.

125145504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39530 (or 39519 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 125145504 is about 11186.8451316714. The cubic root of 125145504 is about 500.1939301058.

The spelling of 125145504 in words is "one hundred twenty-five million, one hundred forty-five thousand, five hundred four".