125313760 has 96 divisors (see below), whose sum is σ = 347874912. Its totient is φ = 42055680.

The previous prime is 125313757. The next prime is 125313767. The reversal of 125313760 is 67313521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125313767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20142 + ... + 25618.

It is an arithmetic number, because the mean of its divisors is an integer number (3623697).

Almost surely, 2^125313760 is an apocalyptic number.

125313760 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 125313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173937456).

125313760 is an abundant number, since it is smaller than the sum of its proper divisors (222561152).

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

125313760 is a wasteful number, since it uses less digits than its factorization.

125313760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 125313760 is about 11194.3628670863. The cubic root of 125313760 is about 500.4179971261.

The spelling of 125313760 in words is "one hundred twenty-five million, three hundred thirteen thousand, seven hundred sixty".