138623405184 has 384 divisors, whose sum is σ = 477850726080. Its totient is φ = 39534428160.

The previous prime is 138623405153. The next prime is 138623405197. The reversal of 138623405184 is 481504326831.

138623405184 is a `hidden beast` number, since 1 + 3 + 8 + 62 + 3 + 405 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 5804532 + ... + 5828364.

Almost surely, 2^138623405184 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 138623405184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238925363040).

138623405184 is an abundant number, since it is smaller than the sum of its proper divisors (339227320896).

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

138623405184 is a wasteful number, since it uses less digits than its factorization.

138623405184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23890 (or 23866 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 138623405184 in words is "one hundred thirty-eight billion, six hundred twenty-three million, four hundred five thousand, one hundred eighty-four".