138106167264 has 1152 divisors, whose sum is σ = 502037222400. Its totient is φ = 36690001920.

The previous prime is 138106167259. The next prime is 138106167271. The reversal of 138106167264 is 462761601831.

138106167264 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 0 + 616 + 7 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2340782467 + ... + 2340782525.

It is an arithmetic number, because the mean of its divisors is an integer number (435796200).

Almost surely, 2^138106167264 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 138106167264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251018611200).

138106167264 is an abundant number, since it is smaller than the sum of its proper divisors (363931055136).

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

138106167264 is a wasteful number, since it uses less digits than its factorization.

138106167264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 138106167264 in words is "one hundred thirty-eight billion, one hundred six million, one hundred sixty-seven thousand, two hundred sixty-four".