125291520 has 132 divisors (see below), whose sum is σ = 434291520. Its totient is φ = 33398784.

The previous prime is 125291501. The next prime is 125291521. The reversal of 125291520 is 25192521.

125291520 is a `hidden beast` number, since 1 + 2 + 52 + 91 + 520 = 666.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (125291521) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 44721 + ... + 47439.

Almost surely, 2^125291520 is an apocalyptic number.

125291520 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 125291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217145760).

125291520 is an abundant number, since it is smaller than the sum of its proper divisors (309000000).

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

125291520 is a wasteful number, since it uses less digits than its factorization.

125291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 125291520 is about 11193.3694658936. The cubic root of 125291520 is about 500.3883915592.

The spelling of 125291520 in words is "one hundred twenty-five million, two hundred ninety-one thousand, five hundred twenty".