200013138 has 80 divisors (see below), whose sum is σ = 489640536. Its totient is φ = 60652800.

The previous prime is 200013131. The next prime is 200013139. The reversal of 200013138 is 831310002.

It can be written as a sum of positive squares in 4 ways, for example, as 72029169 + 127983969 = 8487^2 + 11313^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 200013138.

It is not an unprimeable number, because it can be changed into a prime (200013131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 153088 + ... + 154388.

Almost surely, 2^200013138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200013138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244820268).

200013138 is an abundant number, since it is smaller than the sum of its proper divisors (289627398).

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

200013138 is a wasteful number, since it uses less digits than its factorization.

200013138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 200013138 is about 14142.6001145475. The cubic root of 200013138 is about 584.8163526105.

The spelling of 200013138 in words is "two hundred million, thirteen thousand, one hundred thirty-eight".