138167444761831 has 16 divisors (see below), whose sum is σ = 141772074799104. Its totient is φ = 134591379380224.

The previous prime is 138167444761789. The next prime is 138167444761877.

It is a happy number.

138167444761831 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 138167444761831 - 2¹¹ = 138167444759783 is a prime.

It is a super-2 number, since 2×138167444761831² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138167444761331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096146 + ... + 19449088.

It is an arithmetic number, because the mean of its divisors is an integer number (8860754674944).

Almost surely, 2^{138167444761831} is an apocalyptic number.

138167444761831 is a deficient number, since it is larger than the sum of its proper divisors (3604630037273).

138167444761831 is a wasteful number, since it uses less digits than its factorization.

138167444761831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354470.

The product of its digits is 65028096, while the sum is 64.

The spelling of 138167444761831 in words is "one hundred thirty-eight trillion, one hundred sixty-seven billion, four hundred forty-four million, seven hundred sixty-one thousand, eight hundred thirty-one".