125239968 has 288 divisors, whose sum is σ = 442181376. Its totient is φ = 32845824.

The previous prime is 125239957. The next prime is 125239979. The reversal of 125239968 is 869932521.

125239968 is a `hidden beast` number, since 1 + 252 + 399 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (125239957) and next prime (125239979).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1715580 + ... + 1715652.

It is an arithmetic number, because the mean of its divisors is an integer number (1535352).

Almost surely, 2^125239968 is an apocalyptic number.

125239968 is a gapful number since it is divisible by the number (18) 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 125239968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221090688).

125239968 is an abundant number, since it is smaller than the sum of its proper divisors (316941408).

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

125239968 is a wasteful number, since it uses less digits than its factorization.

125239968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 125239968 is about 11191.0664371185. The cubic root of 125239968 is about 500.3197528060.

The spelling of 125239968 in words is "one hundred twenty-five million, two hundred thirty-nine thousand, nine hundred sixty-eight".