125713440 has 144 divisors (see below), whose sum is σ = 435734208. Its totient is φ = 32997888.

The previous prime is 125713433. The next prime is 125713447. The reversal of 125713440 is 44317521.

It is an interprime number because it is at equal distance from previous prime (125713433) and next prime (125713447).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (125713447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95829 + ... + 97131.

It is an arithmetic number, because the mean of its divisors is an integer number (3025932).

Almost surely, 2^125713440 is an apocalyptic number.

125713440 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 125713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217867104).

125713440 is an abundant number, since it is smaller than the sum of its proper divisors (310020768).

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

125713440 is a wasteful number, since it uses less digits than its factorization.

125713440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 125713440 is about 11212.2004976722. The cubic root of 125713440 is about 500.9494492843.

The spelling of 125713440 in words is "one hundred twenty-five million, seven hundred thirteen thousand, four hundred forty".