159971616 has 144 divisors (see below), whose sum is σ = 527514624. Its totient is φ = 45038592.

The previous prime is 159971599. The next prime is 159971629. The reversal of 159971616 is 616179951.

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

It is an unprimeable number.

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, 146625 + ... + 147711.

It is an arithmetic number, because the mean of its divisors is an integer number (3663296).

Almost surely, 2^159971616 is an apocalyptic number.

159971616 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 159971616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263757312).

159971616 is an abundant number, since it is smaller than the sum of its proper divisors (367543008).

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

159971616 is a wasteful number, since it uses less digits than its factorization.

159971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1172 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 159971616 is about 12647.9886147956. The cubic root of 159971616 is about 542.8514189081.

The spelling of 159971616 in words is "one hundred fifty-nine million, nine hundred seventy-one thousand, six hundred sixteen".