205146 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 65520.

The previous prime is 205141. The next prime is 205151. The reversal of 205146 is 641502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205141) and next prime (205151).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (205141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501 + ... + 1631.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²⁰⁵¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

205146 is an abundant number, since it is smaller than the sum of its proper divisors (270054).

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

205146 is a wasteful number, since it uses less digits than its factorization.

205146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205146 is about 452.9304582383. The cubic root of 205146 is about 58.9776799610.

Adding to 205146 its reverse (641502), we get a palindrome (846648).

It can be divided in two parts, 205 and 146, that added together give a triangular number (351 = T₂₆).

The spelling of 205146 in words is "two hundred five thousand, one hundred forty-six".