201120144 has 80 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 64458880.

The previous prime is 201120137. The next prime is 201120163. The reversal of 201120144 is 441021102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132349 + ... + 133859.

It is an arithmetic number, because the mean of its divisors is an integer number (6749568).

Almost surely, 2^201120144 is an apocalyptic number.

201120144 is a gapful number since it is divisible by the number (24) 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 201120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

201120144 is an abundant number, since it is smaller than the sum of its proper divisors (338845296).

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

201120144 is a wasteful number, since it uses less digits than its factorization.

201120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 201120144 is about 14181.6833979609. The cubic root of 201120144 is about 585.8932893633.

Adding to 201120144 its reverse (441021102), we get a palindrome (642141246).

It can be divided in two parts, 2011 and 20144, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 201120144 in words is "two hundred one million, one hundred twenty thousand, one hundred forty-four".