159286321152 has 1008 divisors, whose sum is σ = 587372228352. Its totient is φ = 42918543360.

The previous prime is 159286321147. The next prime is 159286321163. The reversal of 159286321152 is 251123682951.

159286321152 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 8 + 632 + 1 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×159286321152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159286321098 and 159286321107.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2243469277 + ... + 2243469347.

It is an arithmetic number, because the mean of its divisors is an integer number (582710544).

Almost surely, 2^159286321152 is an apocalyptic number.

159286321152 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 159286321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293686114176).

159286321152 is an abundant number, since it is smaller than the sum of its proper divisors (428085907200).

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

159286321152 is an frugal number, since it uses more digits than its factorization.

159286321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 159286321152 in words is "one hundred fifty-nine billion, two hundred eighty-six million, three hundred twenty-one thousand, one hundred fifty-two".