125608968 has 40 divisors (see below), whose sum is σ = 351823230. Its totient is φ = 41869440.

The previous prime is 125608927. The next prime is 125608991. The reversal of 125608968 is 869806521.

125608968 is a `hidden beast` number, since 1 + 2 + 560 + 89 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108618084 + 16990884 = 10422^2 + 4122^2 .

It is a super-2 number, since 2×125608968² = 31555225684050048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 96273 + ... + 97568.

Almost surely, 2^125608968 is an apocalyptic number.

125608968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125608968 is an abundant number, since it is smaller than the sum of its proper divisors (226214262).

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

125608968 is a wasteful number, since it uses less digits than its factorization.

125608968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193859 (or 193846 counting only the distinct ones).

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

The square root of 125608968 is about 11207.5406758129. The cubic root of 125608968 is about 500.8106423410.

It can be divided in two parts, 12560 and 8968, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 125608968 in words is "one hundred twenty-five million, six hundred eight thousand, nine hundred sixty-eight".