125044520 has 96 divisors (see below), whose sum is σ = 310008600. Its totient is φ = 45330432.

The previous prime is 125044519. The next prime is 125044553. The reversal of 125044520 is 25440521.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 45941284 + 79103236 = 6778^2 + 8894^2 .

It is a super-2 number, since 2×125044520² = 31272263964060800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335054 + ... + 335426.

Almost surely, 2^125044520 is an apocalyptic number.

125044520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125044520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155004300).

125044520 is an abundant number, since it is smaller than the sum of its proper divisors (184964080).

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

125044520 is a wasteful number, since it uses less digits than its factorization.

125044520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 125044520 is about 11182.3307051795. The cubic root of 125044520 is about 500.0593529542.

The spelling of 125044520 in words is "one hundred twenty-five million, forty-four thousand, five hundred twenty".