138120667200 has 1008 divisors, whose sum is σ = 551870392320. Its totient is φ = 32596439040.

The previous prime is 138120667169. The next prime is 138120667207. The reversal of 138120667200 is 2766021831.

138120667200 is a `hidden beast` number, since 1 + 381 + 206 + 6 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138120667207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295761367 + ... + 295761833.

Almost surely, 2^138120667200 is an apocalyptic number.

138120667200 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 138120667200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275935196160).

138120667200 is an abundant number, since it is smaller than the sum of its proper divisors (413749725120).

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

138120667200 is a wasteful number, since it uses less digits than its factorization.

138120667200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 138120667200 in words is "one hundred thirty-eight billion, one hundred twenty million, six hundred sixty-seven thousand, two hundred".