159721721104 has 135 divisors (see below), whose sum is σ = 352681415877. Its totient is φ = 70019030400.

The previous prime is 159721721051. The next prime is 159721721143. The reversal of 159721721104 is 401127127951.

The square root of 159721721104 is 399652.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 151118787600 + 8602933504 = 388740^2 + 92752^2 .

It is a super-2 number, since 2×159721721104² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 545125182 + ... + 545125474.

Almost surely, 2^159721721104 is an apocalyptic number.

159721721104 is the 399652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159721721104

159721721104 is an abundant number, since it is smaller than the sum of its proper divisors (192959694773).

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

159721721104 is an equidigital number, since it uses as much as digits as its factorization.

159721721104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 159721721104 in words is "one hundred fifty-nine billion, seven hundred twenty-one million, seven hundred twenty-one thousand, one hundred four".