128305314 has 24 divisors (see below), whose sum is σ = 278206812. Its totient is φ = 42735840.

The previous prime is 128305297. The next prime is 128305319. The reversal of 128305314 is 413503821.

It is a happy number.

128305314 is a `hidden beast` number, since 128 + 3 + 0 + 531 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99500625 + 28804689 = 9975^2 + 5367^2 .

It is not an unprimeable number, because it can be changed into a prime (128305319) 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 11 ways as a sum of consecutive naturals, for example, 38224 + ... + 41444.

Almost surely, 2^128305314 is an apocalyptic number.

128305314 is an abundant number, since it is smaller than the sum of its proper divisors (149901498).

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

128305314 is a wasteful number, since it uses less digits than its factorization.

128305314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 128305314 is about 11327.1935623966. The cubic root of 128305314 is about 504.3688013039.

The spelling of 128305314 in words is "one hundred twenty-eight million, three hundred five thousand, three hundred fourteen".