159904907136 has 640 divisors, whose sum is σ = 571340800800. Its totient is φ = 43858132992.

The previous prime is 159904907131. The next prime is 159904907143. The reversal of 159904907136 is 631709409951.

159904907136 is a `hidden beast` number, since 1 + 59 + 9 + 0 + 490 + 71 + 36 = 666.

It is a super-3 number, since 3×159904907136³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159904907131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43533396 + ... + 43537068.

Almost surely, 2^159904907136 is an apocalyptic number.

159904907136 is a gapful number since it is divisible by the number (16) 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 159904907136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285670400400).

159904907136 is an abundant number, since it is smaller than the sum of its proper divisors (411435893664).

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

159904907136 is a wasteful number, since it uses less digits than its factorization.

159904907136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3727 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 159904907136 in words is "one hundred fifty-nine billion, nine hundred four million, nine hundred seven thousand, one hundred thirty-six".