159640128 has 168 divisors, whose sum is σ = 499262400. Its totient is φ = 48577536.

The previous prime is 159640127. The next prime is 159640139. The reversal of 159640128 is 821046951.

159640128 is a `hidden beast` number, since 1 + 5 + 9 + 640 + 1 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 159640092 and 159640101.

It is not an unprimeable number, because it can be changed into a prime (159640121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317125 + ... + 317627.

It is an arithmetic number, because the mean of its divisors is an integer number (2971800).

Almost surely, 2^159640128 is an apocalyptic number.

159640128 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 159640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249631200).

159640128 is an abundant number, since it is smaller than the sum of its proper divisors (339622272).

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

159640128 is a wasteful number, since it uses less digits than its factorization.

159640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 159640128 is about 12634.8774430146. The cubic root of 159640128 is about 542.4761999087.

The spelling of 159640128 in words is "one hundred fifty-nine million, six hundred forty thousand, one hundred twenty-eight".