130851721728 has 1280 divisors, whose sum is σ = 508167475200. Its totient is φ = 32328253440.

The previous prime is 130851721697. The next prime is 130851721757. The reversal of 130851721728 is 827127158031.

130851721728 is a `hidden beast` number, since 1 + 308 + 5 + 172 + 172 + 8 = 666.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2217825763 + ... + 2217825821.

It is an arithmetic number, because the mean of its divisors is an integer number (397005840).

Almost surely, 2^130851721728 is an apocalyptic number.

130851721728 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 130851721728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254083737600).

130851721728 is an abundant number, since it is smaller than the sum of its proper divisors (377315753472).

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

130851721728 is a wasteful number, since it uses less digits than its factorization.

130851721728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

Adding to 130851721728 its reverse (827127158031), we get a palindrome (957978879759).

The spelling of 130851721728 in words is "one hundred thirty billion, eight hundred fifty-one million, seven hundred twenty-one thousand, seven hundred twenty-eight".