159192 has 64 divisors (see below), whose sum is σ = 489600. Its totient is φ = 47520.

The previous prime is 159191. The next prime is 159193. The reversal of 159192 is 291951.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (159191) and next prime (159193).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159192.

It is not an unprimeable number, because it can be changed into a prime (159191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2343 + ... + 2409.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁵⁹¹⁹² is an apocalyptic number.

159192 is a gapful number since it is divisible by the number (12) 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 159192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244800).

159192 is an abundant number, since it is smaller than the sum of its proper divisors (330408).

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

159192 is a wasteful number, since it uses less digits than its factorization.

159192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 159192 is about 398.9887216451. The cubic root of 159192 is about 54.1968126737.

It can be divided in two parts, 159 and 192, that added together give a triangular number (351 = T₂₆).

The spelling of 159192 in words is "one hundred fifty-nine thousand, one hundred ninety-two".