144816 has 40 divisors (see below), whose sum is σ = 428544. Its totient is φ = 41280.

The previous prime is 144791. The next prime is 144817. The reversal of 144816 is 618441.

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 an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144816.

It is not an unprimeable number, because it can be changed into a prime (144817) 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, 121 + ... + 551.

2¹⁴⁴⁸¹⁶ is an apocalyptic number.

144816 is a gapful number since it is divisible by the number (16) 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 144816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272).

144816 is an abundant number, since it is smaller than the sum of its proper divisors (283728).

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

144816 is a wasteful number, since it uses less digits than its factorization.

144816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

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

The square root of 144816 is about 380.5469747613. The cubic root of 144816 is about 52.5136472458.

The spelling of 144816 in words is "one hundred forty-four thousand, eight hundred sixteen".