138715442173504 has 63 divisors (see below), whose sum is σ = 320205950391873. Its totient is φ = 59449192551168.

The previous prime is 138715442173489. The next prime is 138715442173507. The reversal of 138715442173504 is 405371244517831.

The square root of 138715442173504 is 11777752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2658334593600 + 136057107579904 = 1630440^2 + 11664352^2 .

It is not an unprimeable number, because it can be changed into a prime (138715442173507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 659448954 + ... + 659659270.

Almost surely, 2^{138715442173504} is an apocalyptic number.

138715442173504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138715442173504 is the 11777752-nd square number.

It is an amenable number.

138715442173504 is an abundant number, since it is smaller than the sum of its proper divisors (181490508218369).

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

138715442173504 is an frugal number, since it uses more digits than its factorization.

138715442173504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420660 (or 210326 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 138715442173504 in words is "one hundred thirty-eight trillion, seven hundred fifteen billion, four hundred forty-two million, one hundred seventy-three thousand, five hundred four".