205123152 has 80 divisors (see below), whose sum is σ = 573241088. Its totient is φ = 62830080.

The previous prime is 205123141. The next prime is 205123157. The reversal of 205123152 is 251321502.

205123152 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205123157) 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, 168498 + ... + 169710.

Almost surely, 2^205123152 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 205123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286620544).

205123152 is an abundant number, since it is smaller than the sum of its proper divisors (368117936).

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

205123152 is a wasteful number, since it uses less digits than its factorization.

205123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 205123152 is about 14322.1210719642. The cubic root of 205123152 is about 589.7549034633.

Adding to 205123152 its reverse (251321502), we get a palindrome (456444654).

The spelling of 205123152 in words is "two hundred five million, one hundred twenty-three thousand, one hundred fifty-two".