205914132 has 72 divisors (see below), whose sum is σ = 558230400. Its totient is φ = 63767808.

The previous prime is 205914131. The next prime is 205914167. The reversal of 205914132 is 231419502.

205914132 is a `hidden beast` number, since 2 + 0 + 591 + 41 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205914096 and 205914105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205914131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46219 + ... + 50477.

It is an arithmetic number, because the mean of its divisors is an integer number (7753200).

Almost surely, 2^205914132 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 205914132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279115200).

205914132 is an abundant number, since it is smaller than the sum of its proper divisors (352316268).

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

205914132 is a wasteful number, since it uses less digits than its factorization.

205914132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 205914132 is about 14349.7084290936. The cubic root of 205914132 is about 590.5119868761.

The spelling of 205914132 in words is "two hundred five million, nine hundred fourteen thousand, one hundred thirty-two".