159948 has 24 divisors (see below), whose sum is σ = 414960. Its totient is φ = 53280.

The previous prime is 159937. The next prime is 159977. The reversal of 159948 is 849951.

It is a super-3 number, since 3×159948³ = 12276023093338176, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

159948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633 + ... + 848.

It is an arithmetic number, because the mean of its divisors is an integer number (17290).

2¹⁵⁹⁹⁴⁸ is an apocalyptic number.

159948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

159948 is an abundant number, since it is smaller than the sum of its proper divisors (255012).

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

159948 is a wasteful number, since it uses less digits than its factorization.

159948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 159948 is about 399.9349947179. The cubic root of 159948 is about 54.2824704565.

The spelling of 159948 in words is "one hundred fifty-nine thousand, nine hundred forty-eight".