144768 has 64 divisors (see below), whose sum is σ = 428400. Its totient is φ = 43008.

The previous prime is 144763. The next prime is 144773. The reversal of 144768 is 867441.

It is an interprime number because it is at equal distance from previous prime (144763) and next prime (144773).

It is a tau number, because it is divible by the number of its divisors (64).

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 144768.

It is not an unprimeable number, because it can be changed into a prime (144763) 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, 4978 + ... + 5006.

144768 is a Friedman number, since it can be written as 416*87*4, using all its digits and the basic arithmetic operations.

2¹⁴⁴⁷⁶⁸ 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 144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214200).

144768 is an abundant number, since it is smaller than the sum of its proper divisors (283632).

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

144768 is a wasteful number, since it uses less digits than its factorization.

144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 47 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 144768 is about 380.4839024190. The cubic root of 144768 is about 52.5078446328.

It can be divided in two parts, 144 and 768, that multiplied together give a cube (110592 = 48³).

The spelling of 144768 in words is "one hundred forty-four thousand, seven hundred sixty-eight".