125930560 has 112 divisors (see below), whose sum is σ = 362980224. Its totient is φ = 40624128.

The previous prime is 125930549. The next prime is 125930561. The reversal of 125930560 is 65039521.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (125930561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36427 + ... + 39733.

Almost surely, 2^125930560 is an apocalyptic number.

125930560 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 125930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181490112).

125930560 is an abundant number, since it is smaller than the sum of its proper divisors (237049664).

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

125930560 is a wasteful number, since it uses less digits than its factorization.

125930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 125930560 is about 11221.8786306037. The cubic root of 125930560 is about 501.2376804330.

The spelling of 125930560 in words is "one hundred twenty-five million, nine hundred thirty thousand, five hundred sixty".