144315254132 has 72 divisors (see below), whose sum is σ = 311226023304. Its totient is φ = 58181265408.

The previous prime is 144315254131. The next prime is 144315254173. The reversal of 144315254132 is 231452513441.

It can be written as a sum of positive squares in 4 ways, for example, as 2392775056 + 141922479076 = 48916^2 + 376726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144315254092 and 144315254101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144315254131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7163738 + ... + 7183854.

It is an arithmetic number, because the mean of its divisors is an integer number (4322583657).

Almost surely, 2^144315254132 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 144315254132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155613011652).

144315254132 is an abundant number, since it is smaller than the sum of its proper divisors (166910769172).

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

144315254132 is a wasteful number, since it uses less digits than its factorization.

144315254132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22305 (or 22296 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

Adding to 144315254132 its reverse (231452513441), we get a palindrome (375767767573).

The spelling of 144315254132 in words is "one hundred forty-four billion, three hundred fifteen million, two hundred fifty-four thousand, one hundred thirty-two".