130389632352 has 144 divisors (see below), whose sum is σ = 423959346720. Its totient is φ = 37237211136.

The previous prime is 130389632309. The next prime is 130389632369. The reversal of 130389632352 is 253236983031.

130389632352 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 9 + 632 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 130389632298 and 130389632307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4802688 + ... + 4829760.

It is an arithmetic number, because the mean of its divisors is an integer number (2944162130).

Almost surely, 2^130389632352 is an apocalyptic number.

130389632352 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 130389632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211979673360).

130389632352 is an abundant number, since it is smaller than the sum of its proper divisors (293569714368).

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

130389632352 is a wasteful number, since it uses less digits than its factorization.

130389632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29485 (or 29474 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 130389632352 in words is "one hundred thirty billion, three hundred eighty-nine million, six hundred thirty-two thousand, three hundred fifty-two".