125656320 has 144 divisors (see below), whose sum is σ = 411187392. Its totient is φ = 32686080.

The previous prime is 125656309. The next prime is 125656327. The reversal of 125656320 is 23656521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125656327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164740 + ... + 165500.

It is an arithmetic number, because the mean of its divisors is an integer number (2855468).

Almost surely, 2^125656320 is an apocalyptic number.

125656320 is a gapful number since it is divisible by the number (10) 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 125656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205593696).

125656320 is an abundant number, since it is smaller than the sum of its proper divisors (285531072).

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

125656320 is an equidigital number, since it uses as much as digits as its factorization.

125656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 125656320 is about 11209.6529830321. The cubic root of 125656320 is about 500.8735662086.

The spelling of 125656320 in words is "one hundred twenty-five million, six hundred fifty-six thousand, three hundred twenty".