205143120 has 480 divisors, whose sum is σ = 883943424. Its totient is φ = 41472000.

The previous prime is 205143101. The next prime is 205143121. The reversal of 205143120 is 21341502.

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

It is a junction number, because it is equal to n+sod(n) for n = 205143093 and 205143102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205143121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031070 + ... + 2031170.

Almost surely, 2^205143120 is an apocalyptic number.

205143120 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 205143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441971712).

205143120 is an abundant number, since it is smaller than the sum of its proper divisors (678800304).

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

205143120 is a wasteful number, since it uses less digits than its factorization.

205143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205143120 is about 14322.8181584491. The cubic root of 205143120 is about 589.7740396809.

Adding to 205143120 its reverse (21341502), we get a palindrome (226484622).

The spelling of 205143120 in words is "two hundred five million, one hundred forty-three thousand, one hundred twenty".