125290560 has 112 divisors (see below), whose sum is σ = 418795200. Its totient is φ = 31647744.

The previous prime is 125290549. The next prime is 125290573. The reversal of 125290560 is 65092521.

It is a happy number.

It is a super-2 number, since 2×125290560² = 31395448850227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14806 + ... + 21674.

Almost surely, 2^125290560 is an apocalyptic number.

125290560 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 125290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209397600).

125290560 is an abundant number, since it is smaller than the sum of its proper divisors (293504640).

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

125290560 is a wasteful number, since it uses less digits than its factorization.

125290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 125290560 is about 11193.3265832817. The cubic root of 125290560 is about 500.3871135422.

The spelling of 125290560 in words is "one hundred twenty-five million, two hundred ninety thousand, five hundred sixty".