125114640 has 120 divisors (see below), whose sum is σ = 451221120. Its totient is φ = 28594944.

The previous prime is 125114629. The next prime is 125114663. The reversal of 125114640 is 46411521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 125114640.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6441 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (3760176).

Almost surely, 2^125114640 is an apocalyptic number.

125114640 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 125114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225610560).

125114640 is an abundant number, since it is smaller than the sum of its proper divisors (326106480).

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

125114640 is a wasteful number, since it uses less digits than its factorization.

125114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 125114640 is about 11185.4655692108. The cubic root of 125114640 is about 500.1528066288.

The spelling of 125114640 in words is "one hundred twenty-five million, one hundred fourteen thousand, six hundred forty".