138554037504 has 216 divisors, whose sum is σ = 411207014400. Its totient is φ = 44848926720.

The previous prime is 138554037491. The next prime is 138554037509. The reversal of 138554037504 is 405730455831.

It is a happy number.

138554037504 is a `hidden beast` number, since 1 + 38 + 5 + 540 + 3 + 75 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138554037504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138554037509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11096737 + ... + 11109215.

Almost surely, 2^138554037504 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 138554037504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205603507200).

138554037504 is an abundant number, since it is smaller than the sum of its proper divisors (272652976896).

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

138554037504 is a wasteful number, since it uses less digits than its factorization.

138554037504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12641 (or 12624 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 138554037504 in words is "one hundred thirty-eight billion, five hundred fifty-four million, thirty-seven thousand, five hundred four".