125349120 has 432 divisors, whose sum is σ = 499978752. Its totient is φ = 29859840.

The previous prime is 125349097. The next prime is 125349121. The reversal of 125349120 is 21943521.

125349120 is a `hidden beast` number, since 1 + 2 + 534 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125349121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043505 + ... + 4043535.

Almost surely, 2^125349120 is an apocalyptic number.

125349120 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 125349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249989376).

125349120 is an abundant number, since it is smaller than the sum of its proper divisors (374629632).

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

125349120 is an equidigital number, since it uses as much as digits as its factorization.

125349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 125349120 is about 11195.9421220369. The cubic root of 125349120 is about 500.4650606364.

The spelling of 125349120 in words is "one hundred twenty-five million, three hundred forty-nine thousand, one hundred twenty".