125981440 has 144 divisors (see below), whose sum is σ = 332746848. Its totient is φ = 45416448.

The previous prime is 125981417. The next prime is 125981483. The reversal of 125981440 is 44189521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 125981396 and 125981405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1114824 + ... + 1114936.

It is an arithmetic number, because the mean of its divisors is an integer number (2310742).

Almost surely, 2^125981440 is an apocalyptic number.

125981440 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 125981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166373424).

125981440 is an abundant number, since it is smaller than the sum of its proper divisors (206765408).

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

125981440 is a wasteful number, since it uses less digits than its factorization.

125981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 125981440 is about 11224.1454017667. The cubic root of 125981440 is about 501.3051767296.

The spelling of 125981440 in words is "one hundred twenty-five million, nine hundred eighty-one thousand, four hundred forty".