138018371400 has 576 divisors, whose sum is σ = 571719657600. Its totient is φ = 29056942080.

The previous prime is 138018371369. The next prime is 138018371417. The reversal of 138018371400 is 4173810831.

138018371400 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 183 + 71 + 400 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148566136 + ... + 148567064.

It is an arithmetic number, because the mean of its divisors is an integer number (992568850).

Almost surely, 2^138018371400 is an apocalyptic number.

138018371400 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 138018371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285859828800).

138018371400 is an abundant number, since it is smaller than the sum of its proper divisors (433701286200).

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

138018371400 is a wasteful number, since it uses less digits than its factorization.

138018371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 138018371400 in words is "one hundred thirty-eight billion, eighteen million, three hundred seventy-one thousand, four hundred".