138185209433520 has 200 divisors, whose sum is σ = 480592478888016. Its totient is φ = 36799115899392.

The previous prime is 138185209433503. The next prime is 138185209433539. The reversal of 138185209433520 is 25334902581831.

138185209433520 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 5 + 20 + 94 + 3 + 3 + 520 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9796462 + ... + 19296141.

Almost surely, 2^{138185209433520} is an apocalyptic number.

138185209433520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138185209433520 is an abundant number, since it is smaller than the sum of its proper divisors (342407269454496).

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

138185209433520 is a wasteful number, since it uses less digits than its factorization.

138185209433520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29093361 (or 29093346 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 138185209433520 in words is "one hundred thirty-eight trillion, one hundred eighty-five billion, two hundred nine million, four hundred thirty-three thousand, five hundred twenty".