125604765 has 96 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 55411200.

The previous prime is 125604761. The next prime is 125604767. The reversal of 125604765 is 567406521.

125604765 = 495² + 496² + ... + 792².

It is a happy number.

125604765 is a `hidden beast` number, since 125 + 60 + 476 + 5 = 666.

It is not a de Polignac number, because 125604765 - 2² = 125604761 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125604761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 842911 + ... + 843059.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^125604765 is an apocalyptic number.

125604765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125604765 is an abundant number, since it is smaller than the sum of its proper divisors (133854435).

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

125604765 is a wasteful number, since it uses less digits than its factorization.

125604765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 125604765 is about 11207.3531665599. The cubic root of 125604765 is about 500.8050564060.

The spelling of 125604765 in words is "one hundred twenty-five million, six hundred four thousand, seven hundred sixty-five".