125688960 has 96 divisors (see below), whose sum is σ = 434039580. Its totient is φ = 33515520.

The previous prime is 125688947. The next prime is 125688961. The reversal of 125688960 is 69886521.

125688960 is a `hidden beast` number, since 1 + 2 + 568 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125619264 + 69696 = 11208^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (125688961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5151 + ... + 16670.

Almost surely, 2^125688960 is an apocalyptic number.

125688960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125688960 is an abundant number, since it is smaller than the sum of its proper divisors (308350620).

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

125688960 is a wasteful number, since it uses less digits than its factorization.

125688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21846 (or 21831 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 125688960 is about 11211.1087765662. The cubic root of 125688960 is about 500.9169307813.

It can be divided in two parts, 12568 and 8960, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 125688960 in words is "one hundred twenty-five million, six hundred eighty-eight thousand, nine hundred sixty".