130398800 has 90 divisors (see below), whose sum is σ = 364486158. Its totient is φ = 44701440.

The previous prime is 130398797. The next prime is 130398809. The reversal of 130398800 is 8893031.

It can be written as a sum of positive squares in 3 ways, for example, as 529984 + 129868816 = 728^2 + 11396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130398809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16274 + ... + 22926.

Almost surely, 2^130398800 is an apocalyptic number.

130398800 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 130398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182243079).

130398800 is an abundant number, since it is smaller than the sum of its proper divisors (234087358).

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

130398800 is a wasteful number, since it uses less digits than its factorization.

130398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 130398800 is about 11419.2293960670. The cubic root of 130398800 is about 507.0971833306.

The spelling of 130398800 in words is "one hundred thirty million, three hundred ninety-eight thousand, eight hundred".