144145312 has 48 divisors (see below), whose sum is σ = 310874760. Its totient is φ = 65486848.

The previous prime is 144145297. The next prime is 144145333. The reversal of 144145312 is 213541441.

144145312 is digitally balanced in base 2, 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 4 ways, for example, as 101687056 + 42458256 = 10084^2 + 6516^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11208 + ... + 20344.

Almost surely, 2^144145312 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 144145312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155437380).

144145312 is an abundant number, since it is smaller than the sum of its proper divisors (166729448).

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

144145312 is a wasteful number, since it uses less digits than its factorization.

144145312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9193 (or 9185 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 144145312 is about 12006.0531399790. The cubic root of 144145312 is about 524.3245275209.

Adding to 144145312 its reverse (213541441), we get a palindrome (357686753).

The spelling of 144145312 in words is "one hundred forty-four million, one hundred forty-five thousand, three hundred twelve".