125957472 has 48 divisors (see below), whose sum is σ = 339584112. Its totient is φ = 40849920.

The previous prime is 125957443. The next prime is 125957473. The reversal of 125957472 is 274759521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) 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 (125957473) 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 7 ways as a sum of consecutive naturals, for example, 14179 + ... + 21282.

It is an arithmetic number, because the mean of its divisors is an integer number (7074669).

Almost surely, 2^125957472 is an apocalyptic number.

125957472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125957472 is an abundant number, since it is smaller than the sum of its proper divisors (213626640).

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

125957472 is a wasteful number, since it uses less digits than its factorization.

125957472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35511 (or 35503 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 125957472 is about 11223.0776527653. The cubic root of 125957472 is about 501.2733835688.

The spelling of 125957472 in words is "one hundred twenty-five million, nine hundred fifty-seven thousand, four hundred seventy-two".