200988144 has 240 divisors, whose sum is σ = 701258688. Its totient is φ = 52420608.

The previous prime is 200988133. The next prime is 200988169. The reversal of 200988144 is 441889002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200988099 and 200988108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633874 + ... + 634190.

Almost surely, 2^200988144 is an apocalyptic number.

200988144 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 200988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350629344).

200988144 is an abundant number, since it is smaller than the sum of its proper divisors (500270544).

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

200988144 is a wasteful number, since it uses less digits than its factorization.

200988144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 200988144 is about 14177.0287437107. The cubic root of 200988144 is about 585.7650826798.

The spelling of 200988144 in words is "two hundred million, nine hundred eighty-eight thousand, one hundred forty-four".