125714160 has 480 divisors, whose sum is σ = 526424640. Its totient is φ = 27371520.

The previous prime is 125714153. The next prime is 125714213. The reversal of 125714160 is 61417521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397662 + ... + 3397698.

It is an arithmetic number, because the mean of its divisors is an integer number (1096718).

Almost surely, 2^125714160 is an apocalyptic number.

125714160 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 125714160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263212320).

125714160 is an abundant number, since it is smaller than the sum of its proper divisors (400710480).

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

125714160 is a wasteful number, since it uses less digits than its factorization.

125714160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 125714160 is about 11212.2326055073. The cubic root of 125714160 is about 500.9504056469.

The spelling of 125714160 in words is "one hundred twenty-five million, seven hundred fourteen thousand, one hundred sixty".