138159772905 has 384 divisors, whose sum is σ = 313075445760. Its totient is φ = 50606899200.

The previous prime is 138159772903. The next prime is 138159772951. The reversal of 138159772905 is 509277951831.

138159772905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138159772905 - 2¹ = 138159772903 is a prime.

It is a super-2 number, since 2×138159772905² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (138159772901) 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 383 ways as a sum of consecutive naturals, for example, 537586537 + ... + 537586793.

It is an arithmetic number, because the mean of its divisors is an integer number (815300640).

Almost surely, 2^138159772905 is an apocalyptic number.

138159772905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138159772905 is an abundant number, since it is smaller than the sum of its proper divisors (174915672855).

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

138159772905 is a wasteful number, since it uses less digits than its factorization.

138159772905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 57.

The spelling of 138159772905 in words is "one hundred thirty-eight billion, one hundred fifty-nine million, seven hundred seventy-two thousand, nine hundred five".