128536820158464 has 299 divisors, whose sum is σ = 385563388881883. Its totient is φ = 42845606719488.

The previous prime is 128536820158361. The next prime is 128536820158517. The reversal of 128536820158464 is 464851028635821.

It is a happy number.

The square root of 128536820158464 is 11337408.

It is a perfect power (a square), and thus also a powerful number.

128536820158464 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 368 + 201 + 5 + 8 + 4 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=34992.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 22 ways as a sum of consecutive naturals, for example, 42845606719487 + 42845606719488 + 42845606719489.

Almost surely, 2^{128536820158464} is an apocalyptic number.

128536820158464 is the 11337408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128536820158464

128536820158464 is an abundant number, since it is smaller than the sum of its proper divisors (257026568723419).

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

128536820158464 is an frugal number, since it uses more digits than its factorization.

128536820158464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 128536820158464 in words is "one hundred twenty-eight trillion, five hundred thirty-six billion, eight hundred twenty million, one hundred fifty-eight thousand, four hundred sixty-four".