128205315 has 48 divisors (see below), whose sum is σ = 265145760. Its totient is φ = 58605120.

The previous prime is 128205299. The next prime is 128205353. The reversal of 128205315 is 513502821.

It is a happy number.

128205315 is a `hidden beast` number, since 128 + 2 + 0 + 531 + 5 = 666.

It is not a de Polignac number, because 128205315 - 2⁴ = 128205299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3076 + ... + 16305.

It is an arithmetic number, because the mean of its divisors is an integer number (5523870).

Almost surely, 2^128205315 is an apocalyptic number.

128205315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128205315 is an abundant number, since it is smaller than the sum of its proper divisors (136940445).

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

128205315 is a wasteful number, since it uses less digits than its factorization.

128205315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19409 (or 19396 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 128205315 is about 11322.7785900811. The cubic root of 128205315 is about 504.2377350658.

The spelling of 128205315 in words is "one hundred twenty-eight million, two hundred five thousand, three hundred fifteen".