205151142 has 48 divisors (see below), whose sum is σ = 485421120. Its totient is φ = 57616272.

The previous prime is 205151137. The next prime is 205151143. The reversal of 205151142 is 241151502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205151143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11433 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (10112940).

Almost surely, 2^205151142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205151142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242710560).

205151142 is an abundant number, since it is smaller than the sum of its proper divisors (280269978).

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

205151142 is a wasteful number, since it uses less digits than its factorization.

205151142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11898 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 205151142 is about 14323.0981983648. The cubic root of 205151142 is about 589.7817271687.

The spelling of 205151142 in words is "two hundred five million, one hundred fifty-one thousand, one hundred forty-two".