125820720 has 120 divisors (see below), whose sum is σ = 434060016. Its totient is φ = 32638464.

The previous prime is 125820719. The next prime is 125820727. The reversal of 125820720 is 27028521.

125820720 is a `hidden beast` number, since 12 + 582 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×125820720⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (125820727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24279 + ... + 29001.

Almost surely, 2^125820720 is an apocalyptic number.

125820720 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 125820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217030008).

125820720 is an abundant number, since it is smaller than the sum of its proper divisors (308239296).

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

125820720 is a wasteful number, since it uses less digits than its factorization.

125820720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 125820720 is about 11216.9835517397. The cubic root of 125820720 is about 501.0919070754.

The spelling of 125820720 in words is "one hundred twenty-five million, eight hundred twenty thousand, seven hundred twenty".