138669195744 has 288 divisors, whose sum is σ = 410643717120. Its totient is φ = 44363289600.

The previous prime is 138669195727. The next prime is 138669195793. The reversal of 138669195744 is 447591966831.

138669195744 is a `hidden beast` number, since 1 + 386 + 69 + 195 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133463577 + ... + 133464615.

It is an arithmetic number, because the mean of its divisors is an integer number (1425846240).

Almost surely, 2^138669195744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138669195744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205321858560).

138669195744 is an abundant number, since it is smaller than the sum of its proper divisors (271974521376).

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

138669195744 is a wasteful number, since it uses less digits than its factorization.

138669195744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1283 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 138669195744 in words is "one hundred thirty-eight billion, six hundred sixty-nine million, one hundred ninety-five thousand, seven hundred forty-four".