144864 has 36 divisors (see below), whose sum is σ = 412776. Its totient is φ = 48192.

The previous prime is 144847. The next prime is 144883. The reversal of 144864 is 468441.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

144864 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 5 ways as a sum of consecutive naturals, for example, 37 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2¹⁴⁴⁸⁶⁴ 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 144864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206388).

144864 is an abundant number, since it is smaller than the sum of its proper divisors (267912).

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

144864 is a wasteful number, since it uses less digits than its factorization.

144864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 144864 is about 380.6100366517. The cubic root of 144864 is about 52.5194485767.

The spelling of 144864 in words is "one hundred forty-four thousand, eight hundred sixty-four".