138395455488 has 156 divisors (see below), whose sum is σ = 400260652428. Its totient is φ = 46074101760.

The previous prime is 138395455453. The next prime is 138395455489. The reversal of 138395455488 is 884554593831.

138395455488 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 9 + 545 + 5 + 4 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96268713984 + 42126741504 = 310272^2 + 205248^2 .

It is not an unprimeable number, because it can be changed into a prime (138395455489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37636306 + ... + 37639982.

It is an arithmetic number, because the mean of its divisors is an integer number (2565773413).

Almost surely, 2^138395455488 is an apocalyptic number.

138395455488 is a gapful number since it is divisible by the number (18) 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 138395455488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200130326214).

138395455488 is an abundant number, since it is smaller than the sum of its proper divisors (261865196940).

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

138395455488 is a wasteful number, since it uses less digits than its factorization.

138395455488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4703 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 138395455488 in words is "one hundred thirty-eight billion, three hundred ninety-five million, four hundred fifty-five thousand, four hundred eighty-eight".