138386832083760 has 240 divisors, whose sum is σ = 490774151006496. Its totient is φ = 32060659531776.

The previous prime is 138386832083719. The next prime is 138386832083813. The reversal of 138386832083760 is 67380238683831.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×138386832083760² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 138386832083691 and 138386832083700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75836649 + ... + 77640008.

Almost surely, 2^{138386832083760} is an apocalyptic number.

138386832083760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138386832083760 is an abundant number, since it is smaller than the sum of its proper divisors (352387318922736).

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

138386832083760 is a wasteful number, since it uses less digits than its factorization.

138386832083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153476720 (or 153476697 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 66.

The spelling of 138386832083760 in words is "one hundred thirty-eight trillion, three hundred eighty-six billion, eight hundred thirty-two million, eighty-three thousand, seven hundred sixty".