205541152 has 48 divisors (see below), whose sum is σ = 437633280. Its totient is φ = 94655488.

The previous prime is 205541143. The next prime is 205541197. The reversal of 205541152 is 251145502.

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, 21549 + ... + 29587.

It is an arithmetic number, because the mean of its divisors is an integer number (9117360).

Almost surely, 2^205541152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218816640).

205541152 is an abundant number, since it is smaller than the sum of its proper divisors (232092128).

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

205541152 is a wasteful number, since it uses less digits than its factorization.

205541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8113 (or 8105 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 205541152 is about 14336.7064558078. The cubic root of 205541152 is about 590.1552325427.

Adding to 205541152 its reverse (251145502), we get a palindrome (456686654).

The spelling of 205541152 in words is "two hundred five million, five hundred forty-one thousand, one hundred fifty-two".