125760320 has 112 divisors (see below), whose sum is σ = 357274368. Its totient is φ = 41226240.

The previous prime is 125760311. The next prime is 125760331. The reversal of 125760320 is 23067521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 125760320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50300 + ... + 52740.

Almost surely, 2^125760320 is an apocalyptic number.

125760320 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 125760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178637184).

125760320 is an abundant number, since it is smaller than the sum of its proper divisors (231514048).

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

125760320 is a wasteful number, since it uses less digits than its factorization.

125760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 125760320 is about 11214.2908826194. The cubic root of 125760320 is about 501.0117114990.

The spelling of 125760320 in words is "one hundred twenty-five million, seven hundred sixty thousand, three hundred twenty".