205050135120 has 80 divisors (see below), whose sum is σ = 638455832640. Its totient is φ = 54439140352.

The previous prime is 205050135119. The next prime is 205050135131. The reversal of 205050135120 is 21531050502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1827405 + ... + 1936364.

It is an arithmetic number, because the mean of its divisors is an integer number (7980697908).

Almost surely, 2^205050135120 is an apocalyptic number.

205050135120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205050135120 is an abundant number, since it is smaller than the sum of its proper divisors (433405697520).

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

205050135120 is a wasteful number, since it uses less digits than its factorization.

205050135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764012 (or 3764006 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 205050135120 its reverse (21531050502), we get a palindrome (226581185622).

The spelling of 205050135120 in words is "two hundred five billion, fifty million, one hundred thirty-five thousand, one hundred twenty".