130186800 has 270 divisors, whose sum is σ = 478781732. Its totient is φ = 32739840.

The previous prime is 130186783. The next prime is 130186801. The reversal of 130186800 is 8681031.

It is not an unprimeable number, because it can be changed into a prime (130186801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3027579 + ... + 3027621.

Almost surely, 2^130186800 is an apocalyptic number.

130186800 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 130186800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239390866).

130186800 is an abundant number, since it is smaller than the sum of its proper divisors (348594932).

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

130186800 is a wasteful number, since it uses less digits than its factorization.

130186800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 130186800 is about 11409.9430322855. The cubic root of 130186800 is about 506.8222244731.

The spelling of 130186800 in words is "one hundred thirty million, one hundred eighty-six thousand, eight hundred".