144135504405 has 64 divisors (see below), whose sum is σ = 258128640000. Its totient is φ = 76307705856.

The previous prime is 144135504397. The next prime is 144135504427. The reversal of 144135504405 is 504405531441.

144135504405 is a `hidden beast` number, since 14 + 4 + 135 + 504 + 4 + 0 + 5 = 666.

It is not a de Polignac number, because 144135504405 - 2³ = 144135504397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144135504405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12474571 + ... + 12486119.

It is an arithmetic number, because the mean of its divisors is an integer number (4033260000).

Almost surely, 2^144135504405 is an apocalyptic number.

144135504405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144135504405 is a deficient number, since it is larger than the sum of its proper divisors (113993135595).

144135504405 is a wasteful number, since it uses less digits than its factorization.

144135504405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12235 (or 12229 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 144135504405 in words is "one hundred forty-four billion, one hundred thirty-five million, five hundred four thousand, four hundred five".