138133355505 has 16 divisors (see below), whose sum is σ = 221037059520. Its totient is φ = 73663226048.

The previous prime is 138133355501. The next prime is 138133355527. The reversal of 138133355505 is 505553331831.

138133355505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 138133355505 - 2² = 138133355501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138133355501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347562 + ... + 630131.

It is an arithmetic number, because the mean of its divisors is an integer number (13814816220).

Almost surely, 2^138133355505 is an apocalyptic number.

138133355505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138133355505 is a deficient number, since it is larger than the sum of its proper divisors (82903704015).

138133355505 is an equidigital number, since it uses as much as digits as its factorization.

138133355505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987120.

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 138133355505 in words is "one hundred thirty-eight billion, one hundred thirty-three million, three hundred fifty-five thousand, five hundred five".