138027302640 has 640 divisors, whose sum is σ = 507053260800. Its totient is φ = 34453278720.

The previous prime is 138027302639. The next prime is 138027302711. The reversal of 138027302640 is 46203720831.

It is a happy number.

138027302640 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 7 + 3 + 0 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138027302595 and 138027302604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 509325705 + ... + 509325975.

It is an arithmetic number, because the mean of its divisors is an integer number (792270720).

Almost surely, 2^138027302640 is an apocalyptic number.

138027302640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138027302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253526630400).

138027302640 is an abundant number, since it is smaller than the sum of its proper divisors (369025958160).

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

138027302640 is a wasteful number, since it uses less digits than its factorization.

138027302640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 138027302640 in words is "one hundred thirty-eight billion, twenty-seven million, three hundred two thousand, six hundred forty".