138542079986688 has 1408 divisors, whose sum is σ = 488577252556800. Its totient is φ = 33953081720832.

The previous prime is 138542079986677. The next prime is 138542079986813. The reversal of 138542079986688 is 886689970245831.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 138542079986688.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19260677620 + ... + 19260684812.

It is an arithmetic number, because the mean of its divisors is an integer number (347000889600).

It is a 2-persistent number, because it is pandigital, and so is 2⋅138542079986688 = 277084159973376, but 3⋅138542079986688 = 415626239960064 is not.

Almost surely, 2^{138542079986688} 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 138542079986688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244288626278400).

138542079986688 is an abundant number, since it is smaller than the sum of its proper divisors (350035172570112).

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

138542079986688 is a wasteful number, since it uses less digits than its factorization.

138542079986688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7365 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 84.

The spelling of 138542079986688 in words is "one hundred thirty-eight trillion, five hundred forty-two billion, seventy-nine million, nine hundred eighty-six thousand, six hundred eighty-eight".