138543966000 has 320 divisors, whose sum is σ = 541415347200. Its totient is φ = 33586272000.

The previous prime is 138543965999. The next prime is 138543966019. The reversal of 138543966000 is 669345831.

138543966000 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 4 + 39 + 6 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477381 + ... + 710619.

It is an arithmetic number, because the mean of its divisors is an integer number (1691922960).

Almost surely, 2^138543966000 is an apocalyptic number.

138543966000 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 138543966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270707673600).

138543966000 is an abundant number, since it is smaller than the sum of its proper divisors (402871381200).

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

138543966000 is a wasteful number, since it uses less digits than its factorization.

138543966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233282 (or 233260 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 138543966000 in words is "one hundred thirty-eight billion, five hundred forty-three million, nine hundred sixty-six thousand".