125839440 has 320 divisors, whose sum is σ = 482112000. Its totient is φ = 30007296.

The previous prime is 125839433. The next prime is 125839481. The reversal of 125839440 is 44938521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125839395 and 125839404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844486 + ... + 844634.

It is an arithmetic number, because the mean of its divisors is an integer number (1506600).

Almost surely, 2^125839440 is an apocalyptic number.

125839440 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 125839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

125839440 is an abundant number, since it is smaller than the sum of its proper divisors (356272560).

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

125839440 is a wasteful number, since it uses less digits than its factorization.

125839440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 125839440 is about 11217.8179696410. The cubic root of 125839440 is about 501.1167571831.

The spelling of 125839440 in words is "one hundred twenty-five million, eight hundred thirty-nine thousand, four hundred forty".