125314560 has 480 divisors, whose sum is σ = 531796320. Its totient is φ = 27869184.

The previous prime is 125314559. The next prime is 125314577. The reversal of 125314560 is 65413521.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 3386862 + ... + 3386898.

It is an arithmetic number, because the mean of its divisors is an integer number (1107909).

Almost surely, 2^125314560 is an apocalyptic number.

125314560 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 125314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265898160).

125314560 is an abundant number, since it is smaller than the sum of its proper divisors (406481760).

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

125314560 is an equidigital number, since it uses as much as digits as its factorization.

125314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 125314560 is about 11194.3985992996. The cubic root of 125314560 is about 500.4190620093.

The spelling of 125314560 in words is "one hundred twenty-five million, three hundred fourteen thousand, five hundred sixty".