125617968 has 180 divisors, whose sum is σ = 430935960. Its totient is φ = 33965568.

The previous prime is 125617963. The next prime is 125617969. The reversal of 125617968 is 869716521.

125617968 is a `hidden beast` number, since 1 + 25 + 617 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125617963) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133596 + ... + 134532.

Almost surely, 2^125617968 is an apocalyptic number.

125617968 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 125617968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215467980).

125617968 is an abundant number, since it is smaller than the sum of its proper divisors (305317992).

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

125617968 is a wasteful number, since it uses less digits than its factorization.

125617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 968 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 125617968 is about 11207.9421840051. The cubic root of 125617968 is about 500.8226032390.

The spelling of 125617968 in words is "one hundred twenty-five million, six hundred seventeen thousand, nine hundred sixty-eight".