125329456 has 80 divisors (see below), whose sum is σ = 290606400. Its totient is φ = 52308480.

The previous prime is 125329429. The next prime is 125329469. The reversal of 125329456 is 654923521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224730 + ... + 225286.

It is an arithmetic number, because the mean of its divisors is an integer number (3632580).

Almost surely, 2^125329456 is an apocalyptic number.

125329456 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 125329456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303200).

125329456 is an abundant number, since it is smaller than the sum of its proper divisors (165276944).

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

125329456 is an equidigital number, since it uses as much as digits as its factorization.

125329456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 607 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

The square root of 125329456 is about 11195.0639122785. The cubic root of 125329456 is about 500.4388893063.

The spelling of 125329456 in words is "one hundred twenty-five million, three hundred twenty-nine thousand, four hundred fifty-six".