130323759408 has 160 divisors (see below), whose sum is σ = 398511993600. Its totient is φ = 40658817024.

The previous prime is 130323759403. The next prime is 130323759413. The reversal of 130323759408 is 804957323031.

130323759408 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 237 + 5 + 9 + 408 = 666.

It is an interprime number because it is at equal distance from previous prime (130323759403) and next prime (130323759413).

It is not an unprimeable number, because it can be changed into a prime (130323759403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585616 + ... + 776912.

It is an arithmetic number, because the mean of its divisors is an integer number (2490699960).

Almost surely, 2^130323759408 is an apocalyptic number.

130323759408 is a gapful number since it is divisible by the number (18) 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 130323759408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199255996800).

130323759408 is an abundant number, since it is smaller than the sum of its proper divisors (268188234192).

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

130323759408 is a wasteful number, since it uses less digits than its factorization.

130323759408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191416 (or 191404 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 130323759408 in words is "one hundred thirty billion, three hundred twenty-three million, seven hundred fifty-nine thousand, four hundred eight".