138130184192 has 576 divisors, whose sum is σ = 383301434880. Its totient is φ = 48306585600.

The previous prime is 138130184191. The next prime is 138130184351. The reversal of 138130184192 is 291481031831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138130184191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892194268 + ... + 1892194340.

It is an arithmetic number, because the mean of its divisors is an integer number (665453880).

Almost surely, 2^138130184192 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 138130184192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191650717440).

138130184192 is an abundant number, since it is smaller than the sum of its proper divisors (245171250688).

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

138130184192 is a wasteful number, since it uses less digits than its factorization.

138130184192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The spelling of 138130184192 in words is "one hundred thirty-eight billion, one hundred thirty million, one hundred eighty-four thousand, one hundred ninety-two".