138137719808 has 132 divisors (see below), whose sum is σ = 321385771476. Its totient is φ = 59095449600.

The previous prime is 138137719807. The next prime is 138137719813. The reversal of 138137719808 is 808917731831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46711312384 + 91426407424 = 216128^2 + 302368^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138137719807) 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 11 ways as a sum of consecutive naturals, for example, 2073578 + ... + 2139158.

It is an arithmetic number, because the mean of its divisors is an integer number (2434740693).

Almost surely, 2^138137719808 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 138137719808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160692885738).

138137719808 is an abundant number, since it is smaller than the sum of its proper divisors (183248051668).

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

138137719808 is a wasteful number, since it uses less digits than its factorization.

138137719808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65640 (or 65611 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 56.

The spelling of 138137719808 in words is "one hundred thirty-eight billion, one hundred thirty-seven million, seven hundred nineteen thousand, eight hundred eight".