138088074002648 has 96 divisors (see below), whose sum is σ = 325458226709280. Its totient is φ = 53765901235200.

The previous prime is 138088074002647. The next prime is 138088074002677. The reversal of 138088074002648 is 846200470880831.

It is a super-2 number, since 2×138088074002648² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138088074002647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3961958 + ... + 17084298.

It is an arithmetic number, because the mean of its divisors is an integer number (3390189861555).

Almost surely, 2^{138088074002648} 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 138088074002648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162729113354640).

138088074002648 is an abundant number, since it is smaller than the sum of its proper divisors (187370152706632).

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

138088074002648 is a wasteful number, since it uses less digits than its factorization.

138088074002648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123929 (or 13123914 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 59.

The spelling of 138088074002648 in words is "one hundred thirty-eight trillion, eighty-eight billion, seventy-four million, two thousand, six hundred forty-eight".