159906432 has 256 divisors, whose sum is σ = 532684800. Its totient is φ = 41472000.

The previous prime is 159906407. The next prime is 159906443. The reversal of 159906432 is 234609951.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583182 + ... + 1583282.

It is an arithmetic number, because the mean of its divisors is an integer number (2080800).

Almost surely, 2^159906432 is an apocalyptic number.

159906432 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 159906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266342400).

159906432 is an abundant number, since it is smaller than the sum of its proper divisors (372778368).

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

159906432 is a wasteful number, since it uses less digits than its factorization.

159906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 159906432 is about 12645.4114998287. The cubic root of 159906432 is about 542.7776765884. Note that the first 3 decimals are identical.

It can be divided in two parts, 15990 and 6432, that added together give a palindrome (22422).

The spelling of 159906432 in words is "one hundred fifty-nine million, nine hundred six thousand, four hundred thirty-two".