130071529340928 has 1680 divisors, whose sum is σ = 482101007310720. Its totient is φ = 34240302415872.

The previous prime is 130071529340917. The next prime is 130071529340933. The reversal of 130071529340928 is 829043925170031.

130071529340928 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 71 + 529 + 3 + 40 + 9 + 2 + 8 = 666.

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

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 58776107950 + ... + 58776110162.

It is an arithmetic number, because the mean of its divisors is an integer number (286964885304).

Almost surely, 2^{130071529340928} is an apocalyptic number.

130071529340928 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 130071529340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241050503655360).

130071529340928 is an abundant number, since it is smaller than the sum of its proper divisors (352029477969792).

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

130071529340928 is an frugal number, since it uses more digits than its factorization.

130071529340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 130071529340928 in words is "one hundred thirty trillion, seventy-one billion, five hundred twenty-nine million, three hundred forty thousand, nine hundred twenty-eight".