125363520 has 336 divisors, whose sum is σ = 475488000. Its totient is φ = 30191616.

The previous prime is 125363509. The next prime is 125363551. The reversal of 125363520 is 25363521.

125363520 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 635 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1586841 + ... + 1586919.

Almost surely, 2^125363520 is an apocalyptic number.

125363520 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 125363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237744000).

125363520 is an abundant number, since it is smaller than the sum of its proper divisors (350124480).

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

125363520 is a wasteful number, since it uses less digits than its factorization.

125363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 125363520 is about 11196.5851937097. The cubic root of 125363520 is about 500.4842242357.

Subtracting from 125363520 its reverse (25363521), we obtain a palindrome (99999999).

The spelling of 125363520 in words is "one hundred twenty-five million, three hundred sixty-three thousand, five hundred twenty".