130965120 has 512 divisors, whose sum is σ = 555206400. Its totient is φ = 28753920.

The previous prime is 130965113. The next prime is 130965167. The reversal of 130965120 is 21569031.

130965120 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×130965120² = 34303725313228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2471014 + ... + 2471066.

Almost surely, 2^130965120 is an apocalyptic number.

130965120 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 130965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277603200).

130965120 is an abundant number, since it is smaller than the sum of its proper divisors (424241280).

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

130965120 is a wasteful number, since it uses less digits than its factorization.

130965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 130965120 is about 11443.9993009437. Note that the first 3 decimals coincide. The cubic root of 130965120 is about 507.8302282631.

The spelling of 130965120 in words is "one hundred thirty million, nine hundred sixty-five thousand, one hundred twenty".