130185408 has 112 divisors (see below), whose sum is σ = 361370880. Its totient is φ = 41309184.

The previous prime is 130185383. The next prime is 130185413. The reversal of 130185408 is 804581031.

It is a super-2 number, since 2×130185408² = 33896480912252928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573391 + ... + 573617.

Almost surely, 2^130185408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130185408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180685440).

130185408 is an abundant number, since it is smaller than the sum of its proper divisors (231185472).

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

130185408 is a wasteful number, since it uses less digits than its factorization.

130185408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 130185408 is about 11409.8820326943. The cubic root of 130185408 is about 506.8204180968.

The spelling of 130185408 in words is "one hundred thirty million, one hundred eighty-five thousand, four hundred eight".