205111454133000 has 128 divisors (see below), whose sum is σ = 641026912331520. Its totient is φ = 54604150553600.

The previous prime is 205111454132987. The next prime is 205111454133007. The reversal of 205111454133000 is 331454111502.

205111454133000 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 (30).

It is not an unprimeable number, because it can be changed into a prime (205111454133007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55868964 + ... + 59426963.

It is an arithmetic number, because the mean of its divisors is an integer number (5008022752590).

Almost surely, 2^{205111454133000} is an apocalyptic number.

205111454133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205111454133000 is an abundant number, since it is smaller than the sum of its proper divisors (435915458198520).

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

205111454133000 is a wasteful number, since it uses less digits than its factorization.

205111454133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115296544 (or 115296530 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 205111454133000 in words is "two hundred five trillion, one hundred eleven billion, four hundred fifty-four million, one hundred thirty-three thousand".