205132128 has 24 divisors (see below), whose sum is σ = 538472088. Its totient is φ = 68377344.

The previous prime is 205132087. The next prime is 205132129. The reversal of 205132128 is 821231502.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 205132098 and 205132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1068301 + ... + 1068492.

It is an arithmetic number, because the mean of its divisors is an integer number (22436337).

Almost surely, 2^205132128 is an apocalyptic number.

It is an amenable number.

205132128 is an abundant number, since it is smaller than the sum of its proper divisors (333339960).

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

205132128 is a wasteful number, since it uses less digits than its factorization.

205132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136806 (or 2136798 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 205132128 is about 14322.4344299424. The cubic root of 205132128 is about 589.7635057148.

The spelling of 205132128 in words is "two hundred five million, one hundred thirty-two thousand, one hundred twenty-eight".