205152164 has 24 divisors (see below), whose sum is σ = 410739840. Its totient is φ = 87829056.

The previous prime is 205152127. The next prime is 205152173. The reversal of 205152164 is 461251502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27377 + ... + 34055.

It is an arithmetic number, because the mean of its divisors is an integer number (17114160).

Almost surely, 2^205152164 is an apocalyptic number.

It is an amenable number.

205152164 is an abundant number, since it is smaller than the sum of its proper divisors (205587676).

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

205152164 is a wasteful number, since it uses less digits than its factorization.

205152164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 205152164 is about 14323.1338749591. The cubic root of 205152164 is about 589.7827065375.

The spelling of 205152164 in words is "two hundred five million, one hundred fifty-two thousand, one hundred sixty-four".