201020144 has 40 divisors (see below), whose sum is σ = 420723072. Its totient is φ = 92494080.

The previous prime is 201020129. The next prime is 201020147. The reversal of 201020144 is 441020102.

201020144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76289 + ... + 78879.

Almost surely, 2^201020144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210361536).

201020144 is an abundant number, since it is smaller than the sum of its proper divisors (219702928).

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

201020144 is a wasteful number, since it uses less digits than its factorization.

201020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2985 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 201020144 is about 14178.1572850635. The cubic root of 201020144 is about 585.7961682413.

Adding to 201020144 its reverse (441020102), we get a palindrome (642040246).

The spelling of 201020144 in words is "two hundred one million, twenty thousand, one hundred forty-four".