130185120 has 192 divisors, whose sum is σ = 456551424. Its totient is φ = 30965760.

The previous prime is 130185079. The next prime is 130185137. The reversal of 130185120 is 21581031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193104 + ... + 193776.

It is an arithmetic number, because the mean of its divisors is an integer number (2377872).

Almost surely, 2^130185120 is an apocalyptic number.

130185120 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 130185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228275712).

130185120 is an abundant number, since it is smaller than the sum of its proper divisors (326366304).

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

130185120 is a wasteful number, since it uses less digits than its factorization.

130185120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 130185120 is about 11409.8694120485. The cubic root of 130185120 is about 506.8200443621.

It can be divided in two parts, 130185 and 120, that added together give a triangular number (130305 = T₅₁₀).

The spelling of 130185120 in words is "one hundred thirty million, one hundred eighty-five thousand, one hundred twenty".