138487989320464 has 135 divisors (see below), whose sum is σ = 314246030598783. Its totient is φ = 58951927367424.

The previous prime is 138487989320459. The next prime is 138487989320491. The reversal of 138487989320464 is 464023989784831.

The square root of 138487989320464 is 11768092.

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

138487989320464 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 4 ways, for example, as 79800132680464 + 58687856640000 = 8933092^2 + 7660800^2 .

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, 51732531094 + ... + 51732533770.

Almost surely, 2^{138487989320464} is an apocalyptic number.

138487989320464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138487989320464 is the 11768092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138487989320464

138487989320464 is an abundant number, since it is smaller than the sum of its proper divisors (175758041278319).

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

138487989320464 is an frugal number, since it uses more digits than its factorization.

138487989320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 76.

The spelling of 138487989320464 in words is "one hundred thirty-eight trillion, four hundred eighty-seven billion, nine hundred eighty-nine million, three hundred twenty thousand, four hundred sixty-four".