125842320 has 120 divisors (see below), whose sum is σ = 444912000. Its totient is φ = 31788288.

The previous prime is 125842319. The next prime is 125842331. The reversal of 125842320 is 23248521.

It is a tau number, because it is divible by the number of its divisors (120).

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, 9081 + ... + 18279.

It is an arithmetic number, because the mean of its divisors is an integer number (3707600).

Almost surely, 2^125842320 is an apocalyptic number.

125842320 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 125842320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222456000).

125842320 is an abundant number, since it is smaller than the sum of its proper divisors (319069680).

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

125842320 is a wasteful number, since it uses less digits than its factorization.

125842320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9237 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125842320 is about 11217.9463361170. The cubic root of 125842320 is about 501.1205800579.

The spelling of 125842320 in words is "one hundred twenty-five million, eight hundred forty-two thousand, three hundred twenty".