159988000224 has 192 divisors, whose sum is σ = 463613407488. Its totient is φ = 47996928000.

The previous prime is 159988000213. The next prime is 159988000241. The reversal of 159988000224 is 422000889951.

It is a Cunningham number, because it is equal to 399985²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 34396299 + ... + 34400949.

It is an arithmetic number, because the mean of its divisors is an integer number (2414653164).

Almost surely, 2^159988000224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159988000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231806703744).

159988000224 is an abundant number, since it is smaller than the sum of its proper divisors (303625407264).

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

159988000224 is a wasteful number, since it uses less digits than its factorization.

159988000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 159988000224 in words is "one hundred fifty-nine billion, nine hundred eighty-eight million, two hundred twenty-four", and thus it is an aban number.