200138762040 has 128 divisors (see below), whose sum is σ = 692603343360. Its totient is φ = 45318449664.

The previous prime is 200138762027. The next prime is 200138762041. The reversal of 200138762040 is 40267831002.

200138762040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200138761992 and 200138762010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200138762041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023487 + ... + 1203246.

It is an arithmetic number, because the mean of its divisors is an integer number (5410963620).

Almost surely, 2^200138762040 is an apocalyptic number.

200138762040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200138762040 is an abundant number, since it is smaller than the sum of its proper divisors (492464581320).

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

200138762040 is a wasteful number, since it uses less digits than its factorization.

200138762040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226861 (or 2226857 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 200138762040 in words is "two hundred billion, one hundred thirty-eight million, seven hundred sixty-two thousand, forty".