128065536 has 140 divisors (see below), whose sum is σ = 384574542. Its totient is φ = 42467328.

The previous prime is 128065513. The next prime is 128065559. The reversal of 128065536 is 635560821.

It is an interprime number because it is at equal distance from previous prime (128065513) and next prime (128065559).

It can be written as a sum of positive squares in only one way, i.e., 119771136 + 8294400 = 10944^2 + 2880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 128065536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663456 + ... + 663648.

Almost surely, 2^128065536 is an apocalyptic number.

128065536 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 128065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192287271).

128065536 is an abundant number, since it is smaller than the sum of its proper divisors (256509006).

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

128065536 is an frugal number, since it uses more digits than its factorization.

128065536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 128065536 is about 11316.6044377278. The cubic root of 128065536 is about 504.0544158933.

The spelling of 128065536 in words is "one hundred twenty-eight million, sixty-five thousand, five hundred thirty-six".