125386656 has 48 divisors (see below), whose sum is σ = 330672384. Its totient is φ = 41601024.

The previous prime is 125386649. The next prime is 125386663. The reversal of 125386656 is 656683521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125386649) and next prime (125386663).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18480 + ... + 24336.

It is an arithmetic number, because the mean of its divisors is an integer number (6889008).

Almost surely, 2^125386656 is an apocalyptic number.

125386656 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 125386656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165336192).

125386656 is an abundant number, since it is smaller than the sum of its proper divisors (205285728).

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

125386656 is a wasteful number, since it uses less digits than its factorization.

125386656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6085 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 125386656 is about 11197.6183181961. The cubic root of 125386656 is about 500.5150106792.

The spelling of 125386656 in words is "one hundred twenty-five million, three hundred eighty-six thousand, six hundred fifty-six".