138043440000 has 720 divisors, whose sum is σ = 517409469720. Its totient is φ = 36671616000.

The previous prime is 138043439999. The next prime is 138043440023. The reversal of 138043440000 is 44340831.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 524879869 + ... + 524880131.

Almost surely, 2^138043440000 is an apocalyptic number.

138043440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138043440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258704734860).

138043440000 is an abundant number, since it is smaller than the sum of its proper divisors (379366029720).

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

138043440000 is an frugal number, since it uses more digits than its factorization.

138043440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 138043440000 its reverse (44340831), we get a palindrome (138087780831).

The spelling of 138043440000 in words is "one hundred thirty-eight billion, forty-three million, four hundred forty thousand".