2144242521135 has 192 divisors, whose sum is σ = 4511814967296. Its totient is φ = 927776332800.

The previous prime is 2144242521121. The next prime is 2144242521151. The reversal of 2144242521135 is 5311252424412.

2144242521135 is a `hidden beast` number, since 2 + 14 + 4 + 2 + 425 + 211 + 3 + 5 = 666.

It is not a de Polignac number, because 2144242521135 - 2¹³ = 2144242512943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2144242521135.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222819934 + ... + 222829556.

It is an arithmetic number, because the mean of its divisors is an integer number (23499036288).

Almost surely, 2^{2144242521135} is an apocalyptic number.

2144242521135 is an abundant number, since it is smaller than the sum of its proper divisors (2367572446161).

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

2144242521135 is a wasteful number, since it uses less digits than its factorization.

2144242521135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10806 (or 10803 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 2144242521135 its reverse (5311252424412), we get a palindrome (7455494945547).

The spelling of 2144242521135 in words is "two trillion, one hundred forty-four billion, two hundred forty-two million, five hundred twenty-one thousand, one hundred thirty-five".