205132008 has 32 divisors (see below), whose sum is σ = 513711360. Its totient is φ = 68259840.

The previous prime is 205132007. The next prime is 205132021. The reversal of 205132008 is 800231502.

It is a super-2 number, since 2×205132008² = 84158281412224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205132007) 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 7 ways as a sum of consecutive naturals, for example, 7528 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (16053480).

Almost surely, 2^205132008 is an apocalyptic number.

It is an amenable number.

205132008 is an abundant number, since it is smaller than the sum of its proper divisors (308579352).

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

205132008 is a wasteful number, since it uses less digits than its factorization.

205132008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 205132008 is about 14322.4302407098. The cubic root of 205132008 is about 589.7633907131.

The spelling of 205132008 in words is "two hundred five million, one hundred thirty-two thousand, eight".