205358140 has 48 divisors (see below), whose sum is σ = 476999712. Its totient is φ = 73771776.

The previous prime is 205358129. The next prime is 205358161. The reversal of 205358140 is 41853502.

205358140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205358099 and 205358108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054 + ... + 20293.

It is an arithmetic number, because the mean of its divisors is an integer number (9937494).

Almost surely, 2^205358140 is an apocalyptic number.

205358140 is a gapful number since it is divisible by the number (20) 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 205358140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238499856).

205358140 is an abundant number, since it is smaller than the sum of its proper divisors (271641572).

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

205358140 is a wasteful number, since it uses less digits than its factorization.

205358140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406 (or 21404 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 205358140 is about 14330.3223969316. The cubic root of 205358140 is about 589.9800242207.

The spelling of 205358140 in words is "two hundred five million, three hundred fifty-eight thousand, one hundred forty".