168144 has 40 divisors (see below), whose sum is σ = 452352. Its totient is φ = 53760.

The previous prime is 168143. The next prime is 168151. The reversal of 168144 is 441861.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 168144.

It is not an unprimeable number, because it can be changed into a prime (168143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1432 + ... + 1544.

2¹⁶⁸¹⁴⁴ 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 168144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226176).

168144 is an abundant number, since it is smaller than the sum of its proper divisors (284208).

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

168144 is a wasteful number, since it uses less digits than its factorization.

168144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 168144 is about 410.0536550258. The cubic root of 168144 is about 55.1942443064.

The spelling of 168144 in words is "one hundred sixty-eight thousand, one hundred forty-four".