130131792 has 160 divisors (see below), whose sum is σ = 445685760. Its totient is φ = 35544960.

The previous prime is 130131791. The next prime is 130131809. The reversal of 130131792 is 297131031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131791) 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 31 ways as a sum of consecutive naturals, for example, 68617 + ... + 70487.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^130131792 is an apocalyptic number.

130131792 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 130131792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

130131792 is an abundant number, since it is smaller than the sum of its proper divisors (315553968).

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

130131792 is a wasteful number, since it uses less digits than its factorization.

130131792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 130131792 is about 11407.5322484751. The cubic root of 130131792 is about 506.7508316630.

The spelling of 130131792 in words is "one hundred thirty million, one hundred thirty-one thousand, seven hundred ninety-two".