144504138769 has 27 divisors (see below), whose sum is σ = 156563356827. Its totient is φ = 133345977408.

The previous prime is 144504138767. The next prime is 144504138787. The reversal of 144504138769 is 967831405441.

The square root of 144504138769 is 380137.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 112503222225 + 32000916544 = 335415^2 + 178888^2 .

It is not a de Polignac number, because 144504138769 - 2¹ = 144504138767 is a prime.

It is a super-2 number, since 2×144504138769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144504138767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 381277222 + ... + 381277600.

Almost surely, 2^144504138769 is an apocalyptic number.

144504138769 is the 380137-th square number.

144504138769 is the 190069-th centered octagonal number.

It is an amenable number.

144504138769 is a deficient number, since it is larger than the sum of its proper divisors (12059218058).

144504138769 is an frugal number, since it uses more digits than its factorization.

With its predecessor (144504138768) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (910).

144504138769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 144504138769 in words is "one hundred forty-four billion, five hundred four million, one hundred thirty-eight thousand, seven hundred sixty-nine".