205240283136 has 520 divisors, whose sum is σ = 711696986880. Its totient is φ = 57721061376.

The previous prime is 205240283113. The next prime is 205240283141. The reversal of 205240283136 is 631382042502.

205240283136 is a `hidden beast` number, since 2 + 0 + 5 + 240 + 283 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 205240283136.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155602285 + ... + 155603603.

Almost surely, 2^205240283136 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 205240283136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355848493440).

205240283136 is an abundant number, since it is smaller than the sum of its proper divisors (506456703744).

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

205240283136 is an equidigital number, since it uses as much as digits as its factorization.

205240283136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 205240283136 in words is "two hundred five billion, two hundred forty million, two hundred eighty-three thousand, one hundred thirty-six".