159309306156 has 1152 divisors, whose sum is σ = 576582451200. Its totient is φ = 33119539200.

The previous prime is 159309306131. The next prime is 159309306161. The reversal of 159309306156 is 651603903951.

It is a super-3 number, since 3×159309306156³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 383 ways as a sum of consecutive naturals, for example, 1789992160 + ... + 1789992248.

It is an arithmetic number, because the mean of its divisors is an integer number (500505600).

Almost surely, 2^159309306156 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 159309306156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288291225600).

159309306156 is an abundant number, since it is smaller than the sum of its proper divisors (417273145044).

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

159309306156 is a wasteful number, since it uses less digits than its factorization.

159309306156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 48.

The spelling of 159309306156 in words is "one hundred fifty-nine billion, three hundred nine million, three hundred six thousand, one hundred fifty-six".