130729709760 has 336 divisors, whose sum is σ = 471775572576. Its totient is φ = 30484905984.

The previous prime is 130729709743. The next prime is 130729709767. The reversal of 130729709760 is 67907927031.

It is not an unprimeable number, because it can be changed into a prime (130729709767) 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 47 ways as a sum of consecutive naturals, for example, 4490772 + ... + 4519788.

It is an arithmetic number, because the mean of its divisors is an integer number (1404093966).

Almost surely, 2^130729709760 is an apocalyptic number.

130729709760 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 130729709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235887786288).

130729709760 is an abundant number, since it is smaller than the sum of its proper divisors (341045862816).

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

130729709760 is a wasteful number, since it uses less digits than its factorization.

130729709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29088 (or 29059 counting only the distinct ones).

The product of its (nonzero) digits is 1000188, while the sum is 51.

The spelling of 130729709760 in words is "one hundred thirty billion, seven hundred twenty-nine million, seven hundred nine thousand, seven hundred sixty".