144415013 has 8 divisors (see below), whose sum is σ = 145618200. Its totient is φ = 143216640.

The previous prime is 144415009. The next prime is 144415039. The reversal of 144415013 is 310514441.

144415013 = 8497² + 8498².

It can be written as a sum of positive squares in 4 ways, for example, as 1803649 + 142611364 = 1343^2 + 11942^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144415013 - 2² = 144415009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144415013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144415093) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 80381 + ... + 82157.

It is an arithmetic number, because the mean of its divisors is an integer number (18202275).

Almost surely, 2^144415013 is an apocalyptic number.

144415013 is the 8498-th centered square number.

It is an amenable number.

144415013 is a deficient number, since it is larger than the sum of its proper divisors (1203187).

144415013 is a wasteful number, since it uses less digits than its factorization.

144415013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 144415013 is about 12017.2797670688. The cubic root of 144415013 is about 524.6513337234.

Adding to 144415013 its reverse (310514441), we get a palindrome (454929454).

The spelling of 144415013 in words is "one hundred forty-four million, four hundred fifteen thousand, thirteen".