159513984 has 192 divisors, whose sum is σ = 532097280. Its totient is φ = 44928000.

The previous prime is 159513973. The next prime is 159514021. The reversal of 159513984 is 489315951.

159513984 is a `hidden beast` number, since 1 + 59 + 513 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×159513984² = 50889422183104512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056309 + ... + 1056459.

It is an arithmetic number, because the mean of its divisors is an integer number (2771340).

Almost surely, 2^159513984 is an apocalyptic number.

159513984 is a gapful number since it is divisible by the number (14) 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 159513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266048640).

159513984 is an abundant number, since it is smaller than the sum of its proper divisors (372583296).

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

159513984 is a wasteful number, since it uses less digits than its factorization.

159513984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 294 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 159513984 is about 12629.8845600425. The cubic root of 159513984 is about 542.3332781373. Note that the first 3 decimals are identical.

The spelling of 159513984 in words is "one hundred fifty-nine million, five hundred thirteen thousand, nine hundred eighty-four".