205665152 has 144 divisors (see below), whose sum is σ = 525818160. Its totient is φ = 79833600.

The previous prime is 205665151. The next prime is 205665157. The reversal of 205665152 is 251566502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205665151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 758777 + ... + 759047.

It is an arithmetic number, because the mean of its divisors is an integer number (3651515).

Almost surely, 2^205665152 is an apocalyptic number.

205665152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262909080).

205665152 is an abundant number, since it is smaller than the sum of its proper divisors (320153008).

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

205665152 is a wasteful number, since it uses less digits than its factorization.

205665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 205665152 is about 14341.0303674457. The cubic root of 205665152 is about 590.2738860533.

The spelling of 205665152 in words is "two hundred five million, six hundred sixty-five thousand, one hundred fifty-two".