128221044174135 has 128 divisors (see below), whose sum is σ = 264300425625600. Its totient is φ = 58323985511040.

The previous prime is 128221044174049. The next prime is 128221044174137. The reversal of 128221044174135 is 531471440122821.

128221044174135 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 2 + 1 + 0 + 441 + 74 + 135 = 666.

It is not a de Polignac number, because 128221044174135 - 2¹⁷ = 128221044043063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128221044174137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19154187 + ... + 24966476.

It is an arithmetic number, because the mean of its divisors is an integer number (2064847075200).

Almost surely, 2^{128221044174135} is an apocalyptic number.

128221044174135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128221044174135 is an abundant number, since it is smaller than the sum of its proper divisors (136079381451465).

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

128221044174135 is a wasteful number, since it uses less digits than its factorization.

128221044174135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44120810 (or 44120804 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

Adding to 128221044174135 its reverse (531471440122821), we get a palindrome (659692484296956).

The spelling of 128221044174135 in words is "one hundred twenty-eight trillion, two hundred twenty-one billion, forty-four million, one hundred seventy-four thousand, one hundred thirty-five".