201135168 has 84 divisors (see below), whose sum is σ = 620888268. Its totient is φ = 61885440.

The previous prime is 201135167. The next prime is 201135169. The reversal of 201135168 is 861531102.

It is an interprime number because it is at equal distance from previous prime (201135167) and next prime (201135169).

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 185831424 = 3912^2 + 13632^2 .

It is not an unprimeable number, because it can be changed into a prime (201135167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5943 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (7391527).

Almost surely, 2^201135168 is an apocalyptic number.

It is an amenable number.

201135168 is an abundant number, since it is smaller than the sum of its proper divisors (419753100).

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

201135168 is a wasteful number, since it uses less digits than its factorization.

201135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26892 (or 26879 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 201135168 is about 14182.2130854109. The cubic root of 201135168 is about 585.9078780588.

It can be divided in two parts, 20113 and 5168, that added together give a square (25281 = 159²).

The spelling of 201135168 in words is "two hundred one million, one hundred thirty-five thousand, one hundred sixty-eight".