159192291072 has 288 divisors, whose sum is σ = 463663968768. Its totient is φ = 48290070528.

The previous prime is 159192291067. The next prime is 159192291073. The reversal of 159192291072 is 270192291951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159192291073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57823648 + ... + 57826400.

It is an arithmetic number, because the mean of its divisors is an integer number (1609944336).

Almost surely, 2^159192291072 is an apocalyptic number.

159192291072 is a gapful number since it is divisible by the number (12) 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 159192291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231831984384).

159192291072 is an abundant number, since it is smaller than the sum of its proper divisors (304471677696).

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

159192291072 is a wasteful number, since it uses less digits than its factorization.

159192291072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 48.

The spelling of 159192291072 in words is "one hundred fifty-nine billion, one hundred ninety-two million, two hundred ninety-one thousand, seventy-two".