205442136 has 128 divisors (see below), whose sum is σ = 607392000. Its totient is φ = 64157184.

The previous prime is 205442099. The next prime is 205442143. The reversal of 205442136 is 631244502.

205442136 is a `hidden beast` number, since 205 + 4 + 421 + 36 = 666.

205442136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463531 + ... + 463973.

It is an arithmetic number, because the mean of its divisors is an integer number (4745250).

Almost surely, 2^205442136 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 205442136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303696000).

205442136 is an abundant number, since it is smaller than the sum of its proper divisors (401949864).

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

205442136 is a wasteful number, since it uses less digits than its factorization.

205442136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 205442136 is about 14333.2528059753. The cubic root of 205442136 is about 590.0604515288.

Adding to 205442136 its reverse (631244502), we get a palindrome (836686638).

The spelling of 205442136 in words is "two hundred five million, four hundred forty-two thousand, one hundred thirty-six".