159103631232 has 1152 divisors, whose sum is σ = 624166233600. Its totient is φ = 37772697600.

The previous prime is 159103631191. The next prime is 159103631273. The reversal of 159103631232 is 232136301951.

159103631232 is a `hidden beast` number, since 1 + 5 + 9 + 10 + 3 + 631 + 2 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (159103631191) and next prime (159103631273).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1053666357 + ... + 1053666507.

Almost surely, 2^159103631232 is an apocalyptic number.

159103631232 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 159103631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312083116800).

159103631232 is an abundant number, since it is smaller than the sum of its proper divisors (465062602368).

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

159103631232 is a wasteful number, since it uses less digits than its factorization.

159103631232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 159103631232 in words is "one hundred fifty-nine billion, one hundred three million, six hundred thirty-one thousand, two hundred thirty-two".