159756656902144 has 153 divisors (see below), whose sum is σ = 323474267593227. Its totient is φ = 78899526500352.

The previous prime is 159756656902133. The next prime is 159756656902177. The reversal of 159756656902144 is 441209656657951.

The square root of 159756656902144 is 12639488.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12835882598400 + 146920774303744 = 3582720^2 + 12121088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313863765762 + ... + 313863766270.

Almost surely, 2^{159756656902144} is an apocalyptic number.

159756656902144 is the 12639488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159756656902144

159756656902144 is an abundant number, since it is smaller than the sum of its proper divisors (163717610691083).

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

159756656902144 is an frugal number, since it uses more digits than its factorization.

159756656902144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 70.

The spelling of 159756656902144 in words is "one hundred fifty-nine trillion, seven hundred fifty-six billion, six hundred fifty-six million, nine hundred two thousand, one hundred forty-four".