125616960 has 448 divisors, whose sum is σ = 530595840. Its totient is φ = 27371520.

The previous prime is 125616937. The next prime is 125616971. The reversal of 125616960 is 69616521.

125616960 is a `hidden beast` number, since 1 + 2 + 561 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1874847 + ... + 1874913.

Almost surely, 2^125616960 is an apocalyptic number.

125616960 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 125616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265297920).

125616960 is an abundant number, since it is smaller than the sum of its proper divisors (404978880).

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

125616960 is a wasteful number, since it uses less digits than its factorization.

125616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 125616960 is about 11207.8972158028. The cubic root of 125616960 is about 500.8212636468.

The spelling of 125616960 in words is "one hundred twenty-five million, six hundred sixteen thousand, nine hundred sixty".