130329736992 has 768 divisors, whose sum is σ = 493888389120. Its totient is φ = 32495468544.

The previous prime is 130329736949. The next prime is 130329737009. The reversal of 130329736992 is 299637923031.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175409773 + ... + 175410515.

It is an arithmetic number, because the mean of its divisors is an integer number (643083840).

Almost surely, 2^130329736992 is an apocalyptic number.

130329736992 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 130329736992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246944194560).

130329736992 is an abundant number, since it is smaller than the sum of its proper divisors (363558652128).

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

130329736992 is a wasteful number, since it uses less digits than its factorization.

130329736992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 130329736992 in words is "one hundred thirty billion, three hundred twenty-nine million, seven hundred thirty-six thousand, nine hundred ninety-two".