144324768 has 96 divisors (see below), whose sum is σ = 435044736. Its totient is φ = 41038848.

The previous prime is 144324737. The next prime is 144324769. The reversal of 144324768 is 867423441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (144324769) 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, 196530 + ... + 197262.

It is an arithmetic number, because the mean of its divisors is an integer number (4531716).

Almost surely, 2^144324768 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 144324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217522368).

144324768 is an abundant number, since it is smaller than the sum of its proper divisors (290719968).

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

144324768 is a wasteful number, since it uses less digits than its factorization.

144324768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1038 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 144324768 is about 12013.5243787991. The cubic root of 144324768 is about 524.5420260079.

The spelling of 144324768 in words is "one hundred forty-four million, three hundred twenty-four thousand, seven hundred sixty-eight".