138413483785476 has 81 divisors (see below), whose sum is σ = 363321938435911. Its totient is φ = 46137192622488.

The previous prime is 138413483785453. The next prime is 138413483785519. The reversal of 138413483785476 is 674587384314831.

The square root of 138413483785476 is 11764926.

It is a perfect power (a square), and thus also a powerful number.

138413483785476 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 3 + 4 + 8 + 3 + 78 + 547 + 6 = 666.

138413483785476 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1905881701 + ... + 1905954323.

Almost surely, 2^{138413483785476} is an apocalyptic number.

138413483785476 is the 11764926-th square number.

It is an amenable number.

138413483785476 is an abundant number, since it is smaller than the sum of its proper divisors (224908454650435).

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

138413483785476 is an frugal number, since it uses more digits than its factorization.

138413483785476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145274 (or 72628 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 138413483785476 in words is "one hundred thirty-eight trillion, four hundred thirteen billion, four hundred eighty-three million, seven hundred eighty-five thousand, four hundred seventy-six".