130983720 has 256 divisors, whose sum is σ = 490752000. Its totient is φ = 27288576.

The previous prime is 130983683. The next prime is 130983751. The reversal of 130983720 is 27389031.

130983720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 462699 + ... + 462981.

It is an arithmetic number, because the mean of its divisors is an integer number (1917000).

Almost surely, 2^130983720 is an apocalyptic number.

130983720 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 130983720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245376000).

130983720 is an abundant number, since it is smaller than the sum of its proper divisors (359768280).

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

130983720 is a wasteful number, since it uses less digits than its factorization.

130983720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 130983720 is about 11444.8119250602. The cubic root of 130983720 is about 507.8542682394.

The spelling of 130983720 in words is "one hundred thirty million, nine hundred eighty-three thousand, seven hundred twenty".