144768256 has 54 divisors (see below), whose sum is σ = 302363810. Its totient is φ = 69172224.

The previous prime is 144768193. The next prime is 144768257. The reversal of 144768256 is 652867441.

144768256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121881600 + 22886656 = 11040^2 + 4784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144768257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134890 + ... + 135958.

Almost surely, 2^144768256 is an apocalyptic number.

144768256 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 144768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151181905).

144768256 is an abundant number, since it is smaller than the sum of its proper divisors (157595554).

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

144768256 is an equidigital number, since it uses as much as digits as its factorization.

144768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1094 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 144768256 is about 12031.9680850641. The cubic root of 144768256 is about 525.0787558344.

The spelling of 144768256 in words is "one hundred forty-four million, seven hundred sixty-eight thousand, two hundred fifty-six".