159148835831808 has 640 divisors, whose sum is σ = 492554537956800. Its totient is φ = 51149093732352.

The previous prime is 159148835831729. The next prime is 159148835831813. The reversal of 159148835831808 is 808138538841951.

159148835831808 is a `hidden beast` number, since 1 + 5 + 9 + 1 + 488 + 35 + 8 + 31 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109531200810 + ... + 109531202262.

Almost surely, 2^{159148835831808} is an apocalyptic number.

159148835831808 is a gapful number since it is divisible by the number (18) 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 159148835831808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246277268978400).

159148835831808 is an abundant number, since it is smaller than the sum of its proper divisors (333405702124992).

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

159148835831808 is an equidigital number, since it uses as much as digits as its factorization.

159148835831808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 159148835831808 in words is "one hundred fifty-nine trillion, one hundred forty-eight billion, eight hundred thirty-five million, eight hundred thirty-one thousand, eight hundred eight".