205140150 has 72 divisors (see below), whose sum is σ = 580174920. Its totient is φ = 51822720.

The previous prime is 205140149. The next prime is 205140161. The reversal of 205140150 is 51041502.

205140150 is a `hidden beast` number, since 2 + 0 + 514 + 0 + 150 = 666.

It is a super-2 number, since 2×205140150² = 84164962284045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3447 + ... + 20546.

It is an arithmetic number, because the mean of its divisors is an integer number (8057985).

Almost surely, 2^205140150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205140150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290087460).

205140150 is an abundant number, since it is smaller than the sum of its proper divisors (375034770).

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

205140150 is a wasteful number, since it uses less digits than its factorization.

205140150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24030 (or 24022 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 205140150 is about 14322.7144773608. The cubic root of 205140150 is about 589.7711934771.

Adding to 205140150 its reverse (51041502), we get a palindrome (256181652).

The spelling of 205140150 in words is "two hundred five million, one hundred forty thousand, one hundred fifty".