125257824 has 36 divisors (see below), whose sum is σ = 356202756. Its totient is φ = 41752512.

The previous prime is 125257817. The next prime is 125257843. The reversal of 125257824 is 428752521.

It is a happy number.

125257824 is a `hidden beast` number, since 12 + 52 + 578 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×125257824³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 217174 + ... + 217749.

It is an arithmetic number, because the mean of its divisors is an integer number (9894521).

Almost surely, 2^125257824 is an apocalyptic number.

It is an amenable number.

125257824 is an abundant number, since it is smaller than the sum of its proper divisors (230944932).

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

125257824 is a wasteful number, since it uses less digits than its factorization.

125257824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434939 (or 434928 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 125257824 is about 11191.8641878822. The cubic root of 125257824 is about 500.3435292546.

The spelling of 125257824 in words is "one hundred twenty-five million, two hundred fifty-seven thousand, eight hundred twenty-four".