125357120 has 112 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 42608640.

The previous prime is 125357069. The next prime is 125357129. The reversal of 125357120 is 21753521.

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 125357120.

It is not an unprimeable number, because it can be changed into a prime (125357129) 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, 427694 + ... + 427986.

It is an arithmetic number, because the mean of its divisors is an integer number (3072384).

Almost surely, 2^125357120 is an apocalyptic number.

125357120 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 125357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

125357120 is an abundant number, since it is smaller than the sum of its proper divisors (218749888).

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

125357120 is a wasteful number, since it uses less digits than its factorization.

125357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 125357120 is about 11196.2993886373. The cubic root of 125357120 is about 500.4757072617.

The spelling of 125357120 in words is "one hundred twenty-five million, three hundred fifty-seven thousand, one hundred twenty".