125813824 has 28 divisors (see below), whose sum is σ = 251064268. Its totient is φ = 62553600.

The previous prime is 125813791. The next prime is 125813827. The reversal of 125813824 is 428318521.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18318400 + 107495424 = 4280^2 + 10368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 125813824.

It is not an unprimeable number, because it can be changed into a prime (125813827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6154 + ... + 17014.

It is an arithmetic number, because the mean of its divisors is an integer number (8966581).

Almost surely, 2^125813824 is an apocalyptic number.

It is an amenable number.

125813824 is a deficient number, since it is larger than the sum of its proper divisors (125250444).

125813824 is a wasteful number, since it uses less digits than its factorization.

125813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11054 (or 11044 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 125813824 is about 11216.6761565091. The cubic root of 125813824 is about 501.0827522692.

It can be divided in two parts, 12581382 and 4, that multiplied together give a triangular number (50325528 = T₁₀₀₃₂).

The spelling of 125813824 in words is "one hundred twenty-five million, eight hundred thirteen thousand, eight hundred twenty-four".