138226880000 has 400 divisors, whose sum is σ = 381047825664. Its totient is φ = 49658880000.

The previous prime is 138226879949. The next prime is 138226880021. The reversal of 138226880000 is 88622831.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 376639817 + ... + 376640183.

Almost surely, 2^138226880000 is an apocalyptic number.

138226880000 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 138226880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190523912832).

138226880000 is an abundant number, since it is smaller than the sum of its proper divisors (242820945664).

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

138226880000 is an equidigital number, since it uses as much as digits as its factorization.

138226880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 138226880000 in words is "one hundred thirty-eight billion, two hundred twenty-six million, eight hundred eighty thousand".