125662656 has 252 divisors, whose sum is σ = 419224968. Its totient is φ = 33094656.

The previous prime is 125662633. The next prime is 125662673. The reversal of 125662656 is 656266521.

It is a happy number.

It is a super-2 number, since 2×125662656² = 31582206225948672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3396270 + ... + 3396306.

Almost surely, 2^125662656 is an apocalyptic number.

125662656 is a gapful number since it is divisible by the number (16) 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 125662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209612484).

125662656 is an abundant number, since it is smaller than the sum of its proper divisors (293562312).

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

125662656 is a wasteful number, since it uses less digits than its factorization.

125662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 68 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 125662656 is about 11209.9355930353. The cubic root of 125662656 is about 500.8819846248.

The spelling of 125662656 in words is "one hundred twenty-five million, six hundred sixty-two thousand, six hundred fifty-six".