144534000465 has 24 divisors (see below), whose sum is σ = 251120706408. Its totient is φ = 76901690880.

The previous prime is 144534000449. The next prime is 144534000529. The reversal of 144534000465 is 564000435441.

144534000465 is a `hidden beast` number, since 144 + 53 + 4 + 0 + 0 + 0 + 465 = 666.

144534000465 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 568393281 + 143965607184 = 23841^2 + 379428^2 .

It is not a de Polignac number, because 144534000465 - 2⁴ = 144534000449 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795624 + ... + 3833513.

It is an arithmetic number, because the mean of its divisors is an integer number (10463362767).

Almost surely, 2^144534000465 is an apocalyptic number.

144534000465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144534000465 is a deficient number, since it is larger than the sum of its proper divisors (106586705943).

144534000465 is a wasteful number, since it uses less digits than its factorization.

144534000465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7629569 (or 7629566 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 144534000465 in words is "one hundred forty-four billion, five hundred thirty-four million, four hundred sixty-five", and thus it is an aban number.