138293742746896 has 135 divisors (see below), whose sum is σ = 296011148207439. Its totient is φ = 62543511782400.

The previous prime is 138293742746881. The next prime is 138293742746969. The reversal of 138293742746896 is 698647247392831.

The square root of 138293742746896 is 11759836.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20352405140496 + 117941337606400 = 4511364^2 + 10860080^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 124701300390 + ... + 124701301498.

Almost surely, 2^{138293742746896} is an apocalyptic number.

138293742746896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138293742746896 is the 11759836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138293742746896

138293742746896 is an abundant number, since it is smaller than the sum of its proper divisors (157717405460543).

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

138293742746896 is an frugal number, since it uses more digits than its factorization.

138293742746896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 1363 counting only the distinct ones).

The product of its digits is 5267275776, while the sum is 79.

The spelling of 138293742746896 in words is "one hundred thirty-eight trillion, two hundred ninety-three billion, seven hundred forty-two million, seven hundred forty-six thousand, eight hundred ninety-six".