144312252 has 72 divisors (see below), whose sum is σ = 414774864. Its totient is φ = 38803968.

The previous prime is 144312241. The next prime is 144312283. The reversal of 144312252 is 252213441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2778 + ... + 17214.

It is an arithmetic number, because the mean of its divisors is an integer number (5760762).

Almost surely, 2^144312252 is an apocalyptic number.

144312252 is a gapful number since it is divisible by the number (12) 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 144312252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207387432).

144312252 is an abundant number, since it is smaller than the sum of its proper divisors (270462612).

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

144312252 is a wasteful number, since it uses less digits than its factorization.

144312252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475 (or 14466 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 144312252 is about 12013.0034545904. The cubic root of 144312252 is about 524.5268626189.

Adding to 144312252 its reverse (252213441), we get a palindrome (396525693).

It can be divided in two parts, 1443 and 12252, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 144312252 in words is "one hundred forty-four million, three hundred twelve thousand, two hundred fifty-two".