130833792 has 80 divisors (see below), whose sum is σ = 389390100. Its totient is φ = 43607808.

The previous prime is 130833763. The next prime is 130833797. The reversal of 130833792 is 297338031.

It is a happy number.

It is a super-2 number, since 2×130833792² = 34234962258198528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130833797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4059 + ... + 16677.

Almost surely, 2^130833792 is an apocalyptic number.

130833792 is a gapful number since it is divisible by the number (12) 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 130833792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194695050).

130833792 is an abundant number, since it is smaller than the sum of its proper divisors (258556308).

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

130833792 is an equidigital number, since it uses as much as digits as its factorization.

130833792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130833792 is about 11438.2600075361. The cubic root of 130833792 is about 507.6604257157.

The spelling of 130833792 in words is "one hundred thirty million, eight hundred thirty-three thousand, seven hundred ninety-two".