128242741536 has 384 divisors, whose sum is σ = 463162613760. Its totient is φ = 33616290816.

The previous prime is 128242741531. The next prime is 128242741537. The reversal of 128242741536 is 635147242821.

128242741536 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 42 + 74 + 1 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 128242741491 and 128242741500.

It is not an unprimeable number, because it can be changed into a prime (128242741531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13125325 + ... + 13135091.

It is an arithmetic number, because the mean of its divisors is an integer number (1206152640).

Almost surely, 2^128242741536 is an apocalyptic number.

128242741536 is a gapful number since it is divisible by the number (16) 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 128242741536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231581306880).

128242741536 is an abundant number, since it is smaller than the sum of its proper divisors (334919872224).

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

128242741536 is a wasteful number, since it uses less digits than its factorization.

128242741536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9973 (or 9959 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 128242741536 in words is "one hundred twenty-eight billion, two hundred forty-two million, seven hundred forty-one thousand, five hundred thirty-six".