125455968 has 108 divisors (see below), whose sum is σ = 391164228. Its totient is φ = 37825920.

The previous prime is 125455963. The next prime is 125455973. The reversal of 125455968 is 869554521.

125455968 is a `hidden beast` number, since 1 + 2 + 54 + 5 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (125455963) and next prime (125455973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125455963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 630333 + ... + 630531.

It is an arithmetic number, because the mean of its divisors is an integer number (3621891).

Almost surely, 2^125455968 is an apocalyptic number.

125455968 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 125455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195582114).

125455968 is an abundant number, since it is smaller than the sum of its proper divisors (265708260).

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

125455968 is a wasteful number, since it uses less digits than its factorization.

125455968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 215 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 125455968 is about 11200.7128344583. The cubic root of 125455968 is about 500.6072196035.

The spelling of 125455968 in words is "one hundred twenty-five million, four hundred fifty-five thousand, nine hundred sixty-eight".