125477968 has 120 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 47604480.

The previous prime is 125477959. The next prime is 125477981. The reversal of 125477968 is 869774521.

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 23 ways as a sum of consecutive naturals, for example, 636846 + ... + 637042.

Almost surely, 2^125477968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

125477968 is an abundant number, since it is smaller than the sum of its proper divisors (188001968).

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

125477968 is a wasteful number, since it uses less digits than its factorization.

125477968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 125477968 is about 11201.6948717594. The cubic root of 125477968 is about 500.6364801090.

The spelling of 125477968 in words is "one hundred twenty-five million, four hundred seventy-seven thousand, nine hundred sixty-eight".