138395904256 has 27 divisors (see below), whose sum is σ = 276263081283. Its totient is φ = 69194976000.

The previous prime is 138395904187. The next prime is 138395904289. The reversal of 138395904256 is 652409593831.

The square root of 138395904256 is 372016.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138395904197 and 138395904206.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5940631 + ... + 5963881.

Almost surely, 2^138395904256 is an apocalyptic number.

138395904256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138395904256 is the 372016-th square number.

It is an amenable number.

138395904256 is a deficient number, since it is larger than the sum of its proper divisors (137867177027).

138395904256 is an frugal number, since it uses more digits than its factorization.

138395904256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46518 (or 23253 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 138395904256 in words is "one hundred thirty-eight billion, three hundred ninety-five million, nine hundred four thousand, two hundred fifty-six".