138594476756736 has 1728 divisors, whose sum is σ = 587075050598400. Its totient is φ = 31274479779840.

The previous prime is 138594476756677. The next prime is 138594476756741. The reversal of 138594476756736 is 637657674495831.

138594476756736 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 9 + 4 + 47 + 6 + 7 + 567 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1293782985 + ... + 1293890103.

Almost surely, 2^{138594476756736} is an apocalyptic number.

138594476756736 is a gapful number since it is divisible by the number (16) 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 138594476756736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293537525299200).

138594476756736 is an abundant number, since it is smaller than the sum of its proper divisors (448480573841664).

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

138594476756736 is a wasteful number, since it uses less digits than its factorization.

138594476756736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107203 (or 107172 counting only the distinct ones).

The product of its digits is 19203609600, while the sum is 81.

The spelling of 138594476756736 in words is "one hundred thirty-eight trillion, five hundred ninety-four billion, four hundred seventy-six million, seven hundred fifty-six thousand, seven hundred thirty-six".