138122208000 has 864 divisors, whose sum is σ = 573434813952. Its totient is φ = 31269888000.

The previous prime is 138122207983. The next prime is 138122208083. The reversal of 138122208000 is 802221831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264095739 + ... + 264096261.

Almost surely, 2^138122208000 is an apocalyptic number.

138122208000 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 138122208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286717406976).

138122208000 is an abundant number, since it is smaller than the sum of its proper divisors (435312605952).

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

138122208000 is a wasteful number, since it uses less digits than its factorization.

138122208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 138122208000 its reverse (802221831), we get a palindrome (138924429831).

The spelling of 138122208000 in words is "one hundred thirty-eight billion, one hundred twenty-two million, two hundred eight thousand".