138200958084 has 288 divisors, whose sum is σ = 414142848000. Its totient is φ = 35597802240.

The previous prime is 138200958079. The next prime is 138200958121. The reversal of 138200958084 is 480859002831.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54216442 + ... + 54218990.

It is an arithmetic number, because the mean of its divisors is an integer number (1437996000).

Almost surely, 2^138200958084 is an apocalyptic number.

138200958084 is a gapful number since it is divisible by the number (14) 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 138200958084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207071424000).

138200958084 is an abundant number, since it is smaller than the sum of its proper divisors (275941889916).

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

138200958084 is a wasteful number, since it uses less digits than its factorization.

138200958084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 138200958084 in words is "one hundred thirty-eight billion, two hundred million, nine hundred fifty-eight thousand, eighty-four".