138744330256 has 135 divisors (see below), whose sum is σ = 319991930013. Its totient is φ = 58107504000.

The previous prime is 138744330239. The next prime is 138744330313. The reversal of 138744330256 is 652033447831.

The square root of 138744330256 is 372484.

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., 100020387600 + 38723942656 = 316260^2 + 196784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 552766131 + ... + 552766381.

Almost surely, 2^138744330256 is an apocalyptic number.

138744330256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138744330256 is the 372484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138744330256

138744330256 is an abundant number, since it is smaller than the sum of its proper divisors (181247599757).

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

138744330256 is an frugal number, since it uses more digits than its factorization.

138744330256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 138744330256 in words is "one hundred thirty-eight billion, seven hundred forty-four million, three hundred thirty thousand, two hundred fifty-six".