138394488365120 has 112 divisors (see below), whose sum is σ = 354907563447360. Its totient is φ = 51098705197056.

The previous prime is 138394488365117. The next prime is 138394488365143. The reversal of 138394488365120 is 21563884493831.

138394488365120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138394488365120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310858199 + ... + 311303081.

It is an arithmetic number, because the mean of its divisors is an integer number (3168817530780).

Almost surely, 2^{138394488365120} is an apocalyptic number.

138394488365120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138394488365120 is an abundant number, since it is smaller than the sum of its proper divisors (216513075082240).

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

138394488365120 is a wasteful number, since it uses less digits than its factorization.

138394488365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519692 (or 519682 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 65.

The spelling of 138394488365120 in words is "one hundred thirty-eight trillion, three hundred ninety-four billion, four hundred eighty-eight million, three hundred sixty-five thousand, one hundred twenty".