205152 has 24 divisors (see below), whose sum is σ = 538776. Its totient is φ = 68352.

The previous prime is 205151. The next prime is 205157. The reversal of 205152 is 251502.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205151) 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, 973 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (22449).

2²⁰⁵¹⁵² is an apocalyptic number.

It is an amenable number.

205152 is an abundant number, since it is smaller than the sum of its proper divisors (333624).

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

205152 is a wasteful number, since it uses less digits than its factorization.

205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 205152 is about 452.9370817233. The cubic root of 205152 is about 58.9782549379.

Adding to 205152 its reverse (251502), we get a palindrome (456654).

The spelling of 205152 in words is "two hundred five thousand, one hundred fifty-two".