205142564 has 12 divisors (see below), whose sum is σ = 391635888. Its totient is φ = 93246600.

The previous prime is 205142521. The next prime is 205142569. The reversal of 205142564 is 465241502.

It is a super-3 number, since 3×205142564³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (205142569) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2331122 + ... + 2331209.

It is an arithmetic number, because the mean of its divisors is an integer number (32636324).

Almost surely, 2^205142564 is an apocalyptic number.

It is an amenable number.

205142564 is a deficient number, since it is larger than the sum of its proper divisors (186493324).

205142564 is a wasteful number, since it uses less digits than its factorization.

205142564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662346 (or 4662344 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 205142564 is about 14322.7987488479. The cubic root of 205142564 is about 589.7735068583.

It can be divided in two parts, 20514 and 2564, that multiplied together give a triangular number (52597896 = T₁₀₂₅₆).

The spelling of 205142564 in words is "two hundred five million, one hundred forty-two thousand, five hundred sixty-four".