130268800 has 48 divisors (see below), whose sum is σ = 321812550. Its totient is φ = 52106240.

The previous prime is 130268797. The next prime is 130268813. The reversal of 130268800 is 8862031.

It can be written as a sum of positive squares in 3 ways, for example, as 84787264 + 45481536 = 9208^2 + 6744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17155 + ... + 23554.

Almost surely, 2^130268800 is an apocalyptic number.

130268800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130268800 is an abundant number, since it is smaller than the sum of its proper divisors (191543750).

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

130268800 is an equidigital number, since it uses as much as digits as its factorization.

130268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40733 (or 40716 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 130268800 is about 11413.5358237489. The cubic root of 130268800 is about 506.9286118586.

The spelling of 130268800 in words is "one hundred thirty million, two hundred sixty-eight thousand, eight hundred".