130084800 has 168 divisors, whose sum is σ = 437857392. Its totient is φ = 33792000.

The previous prime is 130084789. The next prime is 130084819. The reversal of 130084800 is 8480031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196470 + ... + 197130.

It is an arithmetic number, because the mean of its divisors is an integer number (2606294).

Almost surely, 2^130084800 is an apocalyptic number.

130084800 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 130084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218928696).

130084800 is an abundant number, since it is smaller than the sum of its proper divisors (307772592).

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

130084800 is a wasteful number, since it uses less digits than its factorization.

130084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 130084800 is about 11405.4723707526. The cubic root of 130084800 is about 506.6898265806.

The spelling of 130084800 in words is "one hundred thirty million, eighty-four thousand, eight hundred".