125989344 has 120 divisors (see below), whose sum is σ = 399140280. Its totient is φ = 38755584.

The previous prime is 125989343. The next prime is 125989393. The reversal of 125989344 is 443989521.

125989344 is a `hidden beast` number, since 12 + 598 + 9 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125989344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125989343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31827 + ... + 35565.

It is an arithmetic number, because the mean of its divisors is an integer number (3326169).

Almost surely, 2^125989344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125989344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199570140).

125989344 is an abundant number, since it is smaller than the sum of its proper divisors (273150936).

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

125989344 is a wasteful number, since it uses less digits than its factorization.

125989344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3757 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 125989344 is about 11224.4974943202. The cubic root of 125989344 is about 501.3156603724.

The spelling of 125989344 in words is "one hundred twenty-five million, nine hundred eighty-nine thousand, three hundred forty-four".