138005560133753 has 6 divisors (see below), whose sum is σ = 149437973399454. Its totient is φ = 127389747815616.

The previous prime is 138005560133741. The next prime is 138005560133773. The reversal of 138005560133753 is 357331065500831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 14183569467664 + 123821990666089 = 3766108^2 + 11127533^2 .

It is a de Polignac number, because none of the positive numbers 2^k-138005560133753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138005560133773) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408300473600 + ... + 408300473937.

It is an arithmetic number, because the mean of its divisors is an integer number (24906328899909).

Almost surely, 2^{138005560133753} is an apocalyptic number.

138005560133753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

138005560133753 is a deficient number, since it is larger than the sum of its proper divisors (11432413265701).

138005560133753 is an equidigital number, since it uses as much as digits as its factorization.

138005560133753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816600947563 (or 816600947550 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 50.

The spelling of 138005560133753 in words is "one hundred thirty-eight trillion, five billion, five hundred sixty million, one hundred thirty-three thousand, seven hundred fifty-three".