125562320 has 80 divisors (see below), whose sum is σ = 316802640. Its totient is φ = 46006272.

The previous prime is 125562299. The next prime is 125562331. The reversal of 125562320 is 23265521.

It can be written as a sum of positive squares in 8 ways, for example, as 21603904 + 103958416 = 4648^2 + 10196^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 125562320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162896 + ... + 163664.

It is an arithmetic number, because the mean of its divisors is an integer number (3960033).

Almost surely, 2^125562320 is an apocalyptic number.

125562320 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 125562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158401320).

125562320 is an abundant number, since it is smaller than the sum of its proper divisors (191240320).

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

125562320 is a wasteful number, since it uses less digits than its factorization.

125562320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 125562320 is about 11205.4593837111. The cubic root of 125562320 is about 500.7486385213.

The spelling of 125562320 in words is "one hundred twenty-five million, five hundred sixty-two thousand, three hundred twenty".