205001148 has 48 divisors (see below), whose sum is σ = 534562560. Its totient is φ = 60604800.

The previous prime is 205001123. The next prime is 205001179. The reversal of 205001148 is 841100502.

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, 13528 + ... + 24351.

It is an arithmetic number, because the mean of its divisors is an integer number (11136720).

Almost surely, 2^205001148 is an apocalyptic number.

It is an amenable number.

205001148 is an abundant number, since it is smaller than the sum of its proper divisors (329561412).

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

205001148 is a wasteful number, since it uses less digits than its factorization.

205001148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37938 (or 37936 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 205001148 is about 14317.8611531192. The cubic root of 205001148 is about 589.6379546504.

The spelling of 205001148 in words is "two hundred five million, one thousand, one hundred forty-eight".