159953248 has 192 divisors, whose sum is σ = 423360000. Its totient is φ = 58931712.

The previous prime is 159953219. The next prime is 159953279. The reversal of 159953248 is 842359951.

159953248 is nontrivially palindromic in base 12.

Its product of digits (388800) is a multiple of the sum of its prime divisors (100).

It is a junction number, because it is equal to n+sod(n) for n = 159953198 and 159953207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2711043 + ... + 2711101.

It is an arithmetic number, because the mean of its divisors is an integer number (2205000).

Almost surely, 2^159953248 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 159953248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680000).

159953248 is an abundant number, since it is smaller than the sum of its proper divisors (263406752).

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

159953248 is a wasteful number, since it uses less digits than its factorization.

159953248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The square root of 159953248 is about 12647.2624705902. The cubic root of 159953248 is about 542.8306413128.

The spelling of 159953248 in words is "one hundred fifty-nine million, nine hundred fifty-three thousand, two hundred forty-eight".