125959040 has 128 divisors (see below), whose sum is σ = 323136000. Its totient is φ = 46835712.

The previous prime is 125959039. The next prime is 125959061. The reversal of 125959040 is 40959521.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632861 + ... + 633059.

It is an arithmetic number, because the mean of its divisors is an integer number (2524500).

Almost surely, 2^125959040 is an apocalyptic number.

125959040 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 125959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

125959040 is an abundant number, since it is smaller than the sum of its proper divisors (197176960).

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

125959040 is a wasteful number, since it uses less digits than its factorization.

125959040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 125959040 is about 11223.1475086092. The cubic root of 125959040 is about 501.2754636185.

The spelling of 125959040 in words is "one hundred twenty-five million, nine hundred fifty-nine thousand, forty".