125915952 has 20 divisors (see below), whose sum is σ = 325283000. Its totient is φ = 41971968.

The previous prime is 125915927. The next prime is 125915953. The reversal of 125915952 is 259519521.

It is a Smith number, since the sum of its digits (39) 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 125915952.

It is not an unprimeable number, because it can be changed into a prime (125915953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1311577 + ... + 1311672.

It is an arithmetic number, because the mean of its divisors is an integer number (16264150).

Almost surely, 2^125915952 is an apocalyptic number.

125915952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125915952 is an abundant number, since it is smaller than the sum of its proper divisors (199367048).

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

125915952 is a wasteful number, since it uses less digits than its factorization.

125915952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623260 (or 2623254 counting only the distinct ones).

The product of its digits is 40500, while the sum is 39.

The square root of 125915952 is about 11221.2277403143. The cubic root of 125915952 is about 501.2182984202.

The spelling of 125915952 in words is "one hundred twenty-five million, nine hundred fifteen thousand, nine hundred fifty-two".