130368 has 56 divisors (see below), whose sum is σ = 398272. Its totient is φ = 36864.

The previous prime is 130367. The next prime is 130369. The reversal of 130368 is 863031.

It is an interprime number because it is at equal distance from previous prime (130367) and next prime (130369).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (7112).

2¹³⁰³⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199136).

130368 is an abundant number, since it is smaller than the sum of its proper divisors (267904).

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

130368 is an equidigital number, since it uses as much as digits as its factorization.

130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130368 is about 361.0650910847. The cubic root of 130368 is about 50.7057254990.

Adding to 130368 its reverse (863031), we get a palindrome (993399).

The spelling of 130368 in words is "one hundred thirty thousand, three hundred sixty-eight".