128657536 has 96 divisors (see below), whose sum is σ = 303316380. Its totient is φ = 54190080.

The previous prime is 128657527. The next prime is 128657539. The reversal of 128657536 is 635756821.

It can be written as a sum of positive squares in 2 ways, for example, as 126697536 + 1960000 = 11256^2 + 1400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 128657492 and 128657501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128657539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457716 + ... + 457996.

Almost surely, 2^128657536 is an apocalyptic number.

128657536 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 128657536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151658190).

128657536 is an abundant number, since it is smaller than the sum of its proper divisors (174658844).

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

128657536 is an equidigital number, since it uses as much as digits as its factorization.

128657536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The square root of 128657536 is about 11342.7305354575. The cubic root of 128657536 is about 504.8299084067.

The spelling of 128657536 in words is "one hundred twenty-eight million, six hundred fifty-seven thousand, five hundred thirty-six".