138113316496 has 45 divisors (see below), whose sum is σ = 272894440539. Its totient is φ = 67715052288.

The previous prime is 138113316391. The next prime is 138113316533. The reversal of 138113316496 is 694613311831.

The square root of 138113316496 is 371636.

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 19722270096 + 118391046400 = 140436^2 + 344080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 78785956 + ... + 78787708.

Almost surely, 2^138113316496 is an apocalyptic number.

138113316496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138113316496 is the 371636-th square number.

It is an amenable number.

138113316496 is a deficient number, since it is larger than the sum of its proper divisors (134781124043).

138113316496 is an frugal number, since it uses more digits than its factorization.

138113316496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 1808 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The spelling of 138113316496 in words is "one hundred thirty-eight billion, one hundred thirteen million, three hundred sixteen thousand, four hundred ninety-six".