130800096 has 216 divisors, whose sum is σ = 446387760. Its totient is φ = 36951552.

The previous prime is 130800077. The next prime is 130800119. The reversal of 130800096 is 690008031.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×130800096² = 34217330227218432, 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 35 ways as a sum of consecutive naturals, for example, 1469620 + ... + 1469708.

It is an arithmetic number, because the mean of its divisors is an integer number (2066610).

Almost surely, 2^130800096 is an apocalyptic number.

130800096 is a gapful number since it is divisible by the number (16) 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 130800096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223193880).

130800096 is an abundant number, since it is smaller than the sum of its proper divisors (315587664).

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

130800096 is an frugal number, since it uses more digits than its factorization.

130800096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 130800096 is about 11436.7869613804. The cubic root of 130800096 is about 507.6168396405.

The spelling of 130800096 in words is "one hundred thirty million, eight hundred thousand, ninety-six".