138009180130848 has 288 divisors, whose sum is σ = 427578227988912. Its totient is φ = 41970991104000.

The previous prime is 138009180130831. The next prime is 138009180130873. The reversal of 138009180130848 is 848031081900831.

138009180130848 is a `hidden beast` number, since 1 + 380 + 0 + 9 + 180 + 1 + 3 + 0 + 84 + 8 = 666.

138009180130848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 137334304736784 + 674875394064 = 11718972^2 + 821508^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×138009180130848³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138009180130794 and 138009180130803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217872828 + ... + 218505348.

Almost surely, 2^{138009180130848} is an apocalyptic number.

138009180130848 is a gapful number since it is divisible by the number (18) 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 138009180130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213789113994456).

138009180130848 is an abundant number, since it is smaller than the sum of its proper divisors (289569047858064).

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

138009180130848 is a wasteful number, since it uses less digits than its factorization.

138009180130848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633228 (or 633217 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 138009180130848 in words is "one hundred thirty-eight trillion, nine billion, one hundred eighty million, one hundred thirty thousand, eight hundred forty-eight".