205132740 has 96 divisors (see below), whose sum is σ = 610821120. Its totient is φ = 51290496.

The previous prime is 205132709. The next prime is 205132783. The reversal of 205132740 is 47231502.

It is a self number, because there is not a number n which added to its sum of digits gives 205132740.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116547 + ... + 118293.

It is an arithmetic number, because the mean of its divisors is an integer number (6362720).

Almost surely, 2^205132740 is an apocalyptic number.

205132740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205132740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305410560).

205132740 is an abundant number, since it is smaller than the sum of its proper divisors (405688380).

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

205132740 is a wasteful number, since it uses less digits than its factorization.

205132740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 205132740 is about 14322.4557950095. The cubic root of 205132740 is about 589.7640922228.

The spelling of 205132740 in words is "two hundred five million, one hundred thirty-two thousand, seven hundred forty".