130065120 has 144 divisors (see below), whose sum is σ = 454879152. Its totient is φ = 33822720.

The previous prime is 130065109. The next prime is 130065139. The reversal of 130065120 is 21560031.

130065120 is a `hidden beast` number, since 13 + 0 + 0 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130065120² = 33833870881228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130065093 and 130065102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57939 + ... + 60141.

It is an arithmetic number, because the mean of its divisors is an integer number (3158883).

Almost surely, 2^130065120 is an apocalyptic number.

130065120 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 130065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227439576).

130065120 is an abundant number, since it is smaller than the sum of its proper divisors (324814032).

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

130065120 is a wasteful number, since it uses less digits than its factorization.

130065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130065120 is about 11404.6095943702. The cubic root of 130065120 is about 506.6642736114.

The spelling of 130065120 in words is "one hundred thirty million, sixty-five thousand, one hundred twenty".