159260706144 has 576 divisors, whose sum is σ = 521748864000. Its totient is φ = 47089963008.

The previous prime is 159260706119. The next prime is 159260706149. The reversal of 159260706144 is 441607062951.

159260706144 is a `hidden beast` number, since 1 + 5 + 9 + 26 + 0 + 7 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 159260706144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159260706149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 800304957 + ... + 800305155.

It is an arithmetic number, because the mean of its divisors is an integer number (905814000).

Almost surely, 2^159260706144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159260706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260874432000).

159260706144 is an abundant number, since it is smaller than the sum of its proper divisors (362488157856).

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

159260706144 is a wasteful number, since it uses less digits than its factorization.

159260706144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 159260706144 in words is "one hundred fifty-nine billion, two hundred sixty million, seven hundred six thousand, one hundred forty-four".