159681312 has 144 divisors (see below), whose sum is σ = 524684160. Its totient is φ = 45121536.

The previous prime is 159681311. The next prime is 159681329. The reversal of 159681312 is 213186951.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (159681311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207264 + ... + 208032.

It is an arithmetic number, because the mean of its divisors is an integer number (3643640).

Almost surely, 2^159681312 is an apocalyptic number.

159681312 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 159681312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262342080).

159681312 is an abundant number, since it is smaller than the sum of its proper divisors (365002848).

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

159681312 is a wasteful number, since it uses less digits than its factorization.

159681312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 159681312 is about 12636.5071123313. The cubic root of 159681312 is about 542.5228452795.

The spelling of 159681312 in words is "one hundred fifty-nine million, six hundred eighty-one thousand, three hundred twelve".