130233600 has 648 divisors, whose sum is σ = 593087040. Its totient is φ = 26542080.

The previous prime is 130233563. The next prime is 130233637. The reversal of 130233600 is 6332031.

It is a happy number.

130233600 is a `hidden beast` number, since 1 + 30 + 2 + 33 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (130233563) and next prime (130233637).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6854391 + ... + 6854409.

Almost surely, 2^130233600 is an apocalyptic number.

130233600 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 130233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296543520).

130233600 is an abundant number, since it is smaller than the sum of its proper divisors (462853440).

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

130233600 is a wasteful number, since it uses less digits than its factorization.

130233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 130233600 is about 11411.9936908500. The cubic root of 130233600 is about 506.8829485978.

Adding to 130233600 its reverse (6332031), we get a palindrome (136565631).

The spelling of 130233600 in words is "one hundred thirty million, two hundred thirty-three thousand, six hundred".