125375760 has 240 divisors, whose sum is σ = 449864064. Its totient is φ = 31223808.

The previous prime is 125375759. The next prime is 125375779. The reversal of 125375760 is 67573521.

125375760 is a `hidden beast` number, since 12 + 537 + 57 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1109464 + ... + 1109576.

Almost surely, 2^125375760 is an apocalyptic number.

125375760 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 125375760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932032).

125375760 is an abundant number, since it is smaller than the sum of its proper divisors (324488304).

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

125375760 is a wasteful number, since it uses less digits than its factorization.

125375760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 125375760 is about 11197.1317755932. The cubic root of 125375760 is about 500.5005121413.

The spelling of 125375760 in words is "one hundred twenty-five million, three hundred seventy-five thousand, seven hundred sixty".