128481134688 has 240 divisors, whose sum is σ = 381109506624. Its totient is φ = 42460692480.

The previous prime is 128481134681. The next prime is 128481134689. The reversal of 128481134688 is 886431184821.

128481134688 is a `hidden beast` number, since 1 + 28 + 48 + 113 + 468 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128481134681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222670656 + ... + 222671232.

Almost surely, 2^128481134688 is an apocalyptic number.

128481134688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128481134688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190554753312).

128481134688 is an abundant number, since it is smaller than the sum of its proper divisors (252628371936).

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

128481134688 is a wasteful number, since it uses less digits than its factorization.

128481134688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

It can be divided in two parts, 128481 and 134688, that added together give a square (263169 = 513²).

The spelling of 128481134688 in words is "one hundred twenty-eight billion, four hundred eighty-one million, one hundred thirty-four thousand, six hundred eighty-eight".