125114904 has 72 divisors (see below), whose sum is σ = 345236580. Its totient is φ = 40933440.

The previous prime is 125114881. The next prime is 125114911. The reversal of 125114904 is 409411521.

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 267679 + ... + 268145.

Almost surely, 2^125114904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125114904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172618290).

125114904 is an abundant number, since it is smaller than the sum of its proper divisors (220121676).

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

125114904 is a wasteful number, since it uses less digits than its factorization.

125114904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 125114904 is about 11185.4773702332. The cubic root of 125114904 is about 500.1531584135.

The spelling of 125114904 in words is "one hundred twenty-five million, one hundred fourteen thousand, nine hundred four".