130338 has 24 divisors (see below), whose sum is σ = 304668. Its totient is φ = 40032.

The previous prime is 130337. The next prime is 130343. The reversal of 130338 is 833031.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 23409 = 327^2 + 153^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130338.

It is not an unprimeable number, because it can be changed into a prime (130337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 512.

2¹³⁰³³⁸ is an apocalyptic number.

130338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

130338 is an abundant number, since it is smaller than the sum of its proper divisors (174330).

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

130338 is a wasteful number, since it uses less digits than its factorization.

130338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130338 is about 361.0235449386. The cubic root of 130338 is about 50.7018357703.

Adding to 130338 its reverse (833031), we get a palindrome (963369).

It can be divided in two parts, 13033 and 8, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 130338 in words is "one hundred thirty thousand, three hundred thirty-eight".