130800 has 60 divisors (see below), whose sum is σ = 422840. Its totient is φ = 34560.

The previous prime is 130787. The next prime is 130807. The reversal of 130800 is 8031.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130807) by changing a digit.

130800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1146 + ... + 1254.

2¹³⁰⁸⁰⁰ is an apocalyptic number.

130800 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 130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211420).

130800 is an abundant number, since it is smaller than the sum of its proper divisors (292040).

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

130800 is a wasteful number, since it uses less digits than its factorization.

130800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130800 is about 361.6628264005. The cubic root of 130800 is about 50.7616715453.

Adding to 130800 its reverse (8031), we get a palindrome (138831).

The spelling of 130800 in words is "one hundred thirty thousand, eight hundred".