138602271744 has 704 divisors, whose sum is σ = 452763648000. Its totient is φ = 41750691840.

The previous prime is 138602271679. The next prime is 138602271757. The reversal of 138602271744 is 447172206831.

138602271744 is a `hidden beast` number, since 1 + 3 + 8 + 602 + 27 + 17 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138602271744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557328852 + ... + 1557328940.

Almost surely, 2^138602271744 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 138602271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226381824000).

138602271744 is an abundant number, since it is smaller than the sum of its proper divisors (314161376256).

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

138602271744 is a wasteful number, since it uses less digits than its factorization.

138602271744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 138602271744 in words is "one hundred thirty-eight billion, six hundred two million, two hundred seventy-one thousand, seven hundred forty-four".