205145137600304 has 80 divisors (see below), whose sum is σ = 460112852026656. Its totient is φ = 87570584371200.

The previous prime is 205145137600303. The next prime is 205145137600309. The reversal of 205145137600304 is 403006731541502.

It is not an unprimeable number, because it can be changed into a prime (205145137600303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73648577 + ... + 76383264.

Almost surely, 2^{205145137600304} is an apocalyptic number.

It is an amenable number.

205145137600304 is an abundant number, since it is smaller than the sum of its proper divisors (254967714426352).

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

205145137600304 is a wasteful number, since it uses less digits than its factorization.

205145137600304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150032334 (or 150032328 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 205145137600304 in words is "two hundred five trillion, one hundred forty-five billion, one hundred thirty-seven million, six hundred thousand, three hundred four".