205134000 has 160 divisors (see below), whose sum is σ = 668528640. Its totient is φ = 54112000.

The previous prime is 205133983. The next prime is 205134001. The reversal of 205134000 is 431502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (205134001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1073905 + ... + 1074095.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^205134000 is an apocalyptic number.

205134000 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 205134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

205134000 is an abundant number, since it is smaller than the sum of its proper divisors (463394640).

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

205134000 is a wasteful number, since it uses less digits than its factorization.

205134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 205134000 is about 14322.4997818118. The cubic root of 205134000 is about 589.7652997356.

Adding to 205134000 its reverse (431502), we get a palindrome (205565502).

The spelling of 205134000 in words is "two hundred five million, one hundred thirty-four thousand".