138607182041328 has 2880 divisors, whose sum is σ = 570063225618432. Its totient is φ = 31685955840000.

The previous prime is 138607182041311. The next prime is 138607182041329. The reversal of 138607182041328 is 823140281706831.

138607182041328 is a `hidden beast` number, since 1 + 3 + 8 + 60 + 71 + 82 + 0 + 413 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138607182041329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 94226499633 + ... + 94226501103.

Almost surely, 2^{138607182041328} is an apocalyptic number.

138607182041328 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 138607182041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285031612809216).

138607182041328 is an abundant number, since it is smaller than the sum of its proper divisors (431456043577104).

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

138607182041328 is a wasteful number, since it uses less digits than its factorization.

138607182041328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 138607182041328 in words is "one hundred thirty-eight trillion, six hundred seven billion, one hundred eighty-two million, forty-one thousand, three hundred twenty-eight".