144315264 has 96 divisors (see below), whose sum is σ = 393583320. Its totient is φ = 46848000.

The previous prime is 144315263. The next prime is 144315277. The reversal of 144315264 is 462513441.

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

Its product of digits (11520) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144315263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428814 + ... + 1428914.

Almost surely, 2^144315264 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 144315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196791660).

144315264 is an abundant number, since it is smaller than the sum of its proper divisors (249268056).

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

144315264 is an equidigital number, since it uses as much as digits as its factorization.

144315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 167 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 144315264 is about 12013.1288180890. The cubic root of 144315264 is about 524.5305117984.

The spelling of 144315264 in words is "one hundred forty-four million, three hundred fifteen thousand, two hundred sixty-four".