125026560 has 108 divisors (see below), whose sum is σ = 432618732. Its totient is φ = 33337344.

The previous prime is 125026553. The next prime is 125026579. The reversal of 125026560 is 65620521.

125026560 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 2 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 68956416 = 7488^2 + 8304^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 6094 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (4005729).

Almost surely, 2^125026560 is an apocalyptic number.

125026560 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 125026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216309366).

125026560 is an abundant number, since it is smaller than the sum of its proper divisors (307592172).

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

125026560 is a wasteful number, since it uses less digits than its factorization.

125026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10880 (or 10863 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125026560 is about 11181.5276237194. The cubic root of 125026560 is about 500.0354108254.

The spelling of 125026560 in words is "one hundred twenty-five million, twenty-six thousand, five hundred sixty".