128286174073134 has 432 divisors, whose sum is σ = 349550987466240. Its totient is φ = 31185881496000.

The previous prime is 128286174073069. The next prime is 128286174073151. The reversal of 128286174073134 is 431370471682821.

It is a super-3 number, since 3×128286174073134³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4656302659 + ... + 4656330209.

It is an arithmetic number, because the mean of its divisors is an integer number (809145804320).

Almost surely, 2^{128286174073134} is an apocalyptic number.

128286174073134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128286174073134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174775493733120).

128286174073134 is an abundant number, since it is smaller than the sum of its proper divisors (221264813393106).

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

128286174073134 is a wasteful number, since it uses less digits than its factorization.

128286174073134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27777 (or 27676 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 128286174073134 in words is "one hundred twenty-eight trillion, two hundred eighty-six billion, one hundred seventy-four million, seventy-three thousand, one hundred thirty-four".