138042609177 has 64 divisors (see below), whose sum is σ = 228552192000. Its totient is φ = 73009198080.

The previous prime is 138042609151. The next prime is 138042609181. The reversal of 138042609177 is 771906240831.

It is a happy number.

It is not a de Polignac number, because 138042609177 - 2⁶ = 138042609113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138042609127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 363199 + ... + 638747.

It is an arithmetic number, because the mean of its divisors is an integer number (3571128000).

Almost surely, 2^138042609177 is an apocalyptic number.

138042609177 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138042609177 is a deficient number, since it is larger than the sum of its proper divisors (90509582823).

138042609177 is a wasteful number, since it uses less digits than its factorization.

138042609177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275646.

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 138042609177 in words is "one hundred thirty-eight billion, forty-two million, six hundred nine thousand, one hundred seventy-seven".