125938560 has 256 divisors, whose sum is σ = 449452800. Its totient is φ = 29736960.

The previous prime is 125938531. The next prime is 125938573. The reversal of 125938560 is 65839521.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1414996 + ... + 1415084.

It is an arithmetic number, because the mean of its divisors is an integer number (1755675).

Almost surely, 2^125938560 is an apocalyptic number.

125938560 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 125938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224726400).

125938560 is an abundant number, since it is smaller than the sum of its proper divisors (323514240).

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

125938560 is a wasteful number, since it uses less digits than its factorization.

125938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 125938560 is about 11222.2350714998. The cubic root of 125938560 is about 501.2482942627.

The spelling of 125938560 in words is "one hundred twenty-five million, nine hundred thirty-eight thousand, five hundred sixty".