200180144 has 60 divisors (see below), whose sum is σ = 410768352. Its totient is φ = 94458240.

The previous prime is 200180129. The next prime is 200180207. The reversal of 200180144 is 441081002.

200180144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722534 + ... + 722810.

Almost surely, 2^200180144 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 200180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205384176).

200180144 is an abundant number, since it is smaller than the sum of its proper divisors (210588208).

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

200180144 is a wasteful number, since it uses less digits than its factorization.

200180144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 200180144 is about 14148.5032423928. The cubic root of 200180144 is about 584.9790763695.

The spelling of 200180144 in words is "two hundred million, one hundred eighty thousand, one hundred forty-four".