84144133144148 has 24 divisors (see below), whose sum is σ = 183587199587904. Its totient is φ = 32783428497600.

The previous prime is 84144133144103. The next prime is 84144133144193.

84144133144148 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (84144133144103) and next prime (84144133144193).

It is a junction number, because it is equal to n+sod(n) for n = 84144133144096 and 84144133144105.

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 7 ways as a sum of consecutive naturals, for example, 136597618433 + ... + 136597619048.

It is an arithmetic number, because the mean of its divisors is an integer number (7649466649496).

Almost surely, 2^{84144133144148} is an apocalyptic number.

It is an amenable number.

84144133144148 is an abundant number, since it is smaller than the sum of its proper divisors (99443066443756).

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

84144133144148 is a wasteful number, since it uses less digits than its factorization.

84144133144148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273195237503 (or 273195237501 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 50.

The spelling of 84144133144148 in words is "eighty-four trillion, one hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, one hundred forty-eight".