125876520 has 384 divisors, whose sum is σ = 539136000. Its totient is φ = 24675840.

The previous prime is 125876507. The next prime is 125876521. The reversal of 125876520 is 25678521.

It is a happy number.

125876520 is a `hidden beast` number, since 12 + 58 + 76 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (125876521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526561 + ... + 526799.

It is an arithmetic number, because the mean of its divisors is an integer number (1404000).

Almost surely, 2^125876520 is an apocalyptic number.

125876520 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 125876520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269568000).

125876520 is an abundant number, since it is smaller than the sum of its proper divisors (413259480).

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

125876520 is a wasteful number, since it uses less digits than its factorization.

125876520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 125876520 is about 11219.4705757447. The cubic root of 125876520 is about 501.1659722373.

The spelling of 125876520 in words is "one hundred twenty-five million, eight hundred seventy-six thousand, five hundred twenty".