201200144 has 40 divisors (see below), whose sum is σ = 405480000. Its totient is φ = 96598656.

The previous prime is 201200081. The next prime is 201200183. The reversal of 201200144 is 441002102.

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 7 ways as a sum of consecutive naturals, for example, 91247 + ... + 93425.

It is an arithmetic number, because the mean of its divisors is an integer number (10137000).

Almost surely, 2^201200144 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 201200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202740000).

201200144 is an abundant number, since it is smaller than the sum of its proper divisors (204279856).

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

201200144 is a wasteful number, since it uses less digits than its factorization.

201200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

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

The square root of 201200144 is about 14184.5036571605. The cubic root of 201200144 is about 585.9709630842.

Adding to 201200144 its reverse (441002102), we get a palindrome (642202246).

The spelling of 201200144 in words is "two hundred one million, two hundred thousand, one hundred forty-four".