138056999184 has 320 divisors, whose sum is σ = 462382905600. Its totient is φ = 39049371648.

The previous prime is 138056999183. The next prime is 138056999189. The reversal of 138056999184 is 481999650831.

138056999184 is a `hidden beast` number, since 1 + 380 + 5 + 6 + 99 + 91 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (138056999183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4088482 + ... + 4122110.

It is an arithmetic number, because the mean of its divisors is an integer number (1444946580).

Almost surely, 2^138056999184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138056999184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231191452800).

138056999184 is an abundant number, since it is smaller than the sum of its proper divisors (324325906416).

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

138056999184 is a wasteful number, since it uses less digits than its factorization.

138056999184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33719 (or 33707 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 138056999184 in words is "one hundred thirty-eight billion, fifty-six million, nine hundred ninety-nine thousand, one hundred eighty-four".