200153560144 has 80 divisors (see below), whose sum is σ = 421395886080. Its totient is φ = 91745556480.

The previous prime is 200153560133. The next prime is 200153560163. The reversal of 200153560144 is 441065351002.

It is a happy number.

It is a super-2 number, since 2×200153560144² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1650417 + ... + 1767535.

It is an arithmetic number, because the mean of its divisors is an integer number (5267448576).

Almost surely, 2^200153560144 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 200153560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210697943040).

200153560144 is an abundant number, since it is smaller than the sum of its proper divisors (221242325936).

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

200153560144 is a wasteful number, since it uses less digits than its factorization.

200153560144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117308 (or 117302 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 200153560144 in words is "two hundred billion, one hundred fifty-three million, five hundred sixty thousand, one hundred forty-four".