138583374356736 has 405 divisors, whose sum is σ = 428123102788381. Its totient is φ = 44585724008448.

The previous prime is 138583374356717. The next prime is 138583374356743. The reversal of 138583374356736 is 637653473385831.

The square root of 138583374356736 is 11772144.

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

138583374356736 is a `hidden beast` number, since 1 + 3 + 8 + 58 + 3 + 3 + 7 + 4 + 3 + 567 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72669759918336 + 65913614438400 = 8524656^2 + 8118720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49160471935 + ... + 49160474753.

Almost surely, 2^{138583374356736} is an apocalyptic number.

138583374356736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138583374356736 is the 11772144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138583374356736

138583374356736 is an abundant number, since it is smaller than the sum of its proper divisors (289539728431645).

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

138583374356736 is an frugal number, since it uses more digits than its factorization.

138583374356736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5724 (or 2853 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 72.

The spelling of 138583374356736 in words is "one hundred thirty-eight trillion, five hundred eighty-three billion, three hundred seventy-four million, three hundred fifty-six thousand, seven hundred thirty-six".