159706331136 has 576 divisors, whose sum is σ = 526770972000. Its totient is φ = 46183219200.

The previous prime is 159706331131. The next prime is 159706331179. The reversal of 159706331136 is 631133607951.

159706331136 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 0 + 633 + 1 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×159706331136² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 159706331091 and 159706331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159706331131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 457611090 + ... + 457611438.

Almost surely, 2^159706331136 is an apocalyptic number.

159706331136 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 159706331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263385486000).

159706331136 is an abundant number, since it is smaller than the sum of its proper divisors (367064640864).

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

159706331136 is a wasteful number, since it uses less digits than its factorization.

159706331136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 159706331136 in words is "one hundred fifty-nine billion, seven hundred six million, three hundred thirty-one thousand, one hundred thirty-six".