128627136 has 224 divisors, whose sum is σ = 422818560. Its totient is φ = 38016000.

The previous prime is 128627113. The next prime is 128627137. The reversal of 128627136 is 631726821.

128627136 is a `hidden beast` number, since 1 + 28 + 627 + 1 + 3 + 6 = 666.

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 128627136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128627137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273486 + ... + 1273586.

Almost surely, 2^128627136 is an apocalyptic number.

128627136 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 128627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211409280).

128627136 is an abundant number, since it is smaller than the sum of its proper divisors (294191424).

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

128627136 is a wasteful number, since it uses less digits than its factorization.

128627136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 128627136 is about 11341.3903909530. The cubic root of 128627136 is about 504.7901438280.

It can be divided in two parts, 128 and 627136, that added together give a square (627264 = 792²).

The spelling of 128627136 in words is "one hundred twenty-eight million, six hundred twenty-seven thousand, one hundred thirty-six".