138370211200 has 384 divisors, whose sum is σ = 389402576640. Its totient is φ = 48218112000.

The previous prime is 138370211183. The next prime is 138370211249. The reversal of 138370211200 is 2112073831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52872292 + ... + 52874908.

It is an arithmetic number, because the mean of its divisors is an integer number (1014069210).

Almost surely, 2^138370211200 is an apocalyptic number.

138370211200 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 138370211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194701288320).

138370211200 is an abundant number, since it is smaller than the sum of its proper divisors (251032365440).

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

138370211200 is a wasteful number, since it uses less digits than its factorization.

138370211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 138370211200 in words is "one hundred thirty-eight billion, three hundred seventy million, two hundred eleven thousand, two hundred".