138797144688400 has 135 divisors (see below), whose sum is σ = 366537411874389. Its totient is φ = 50470746480000.

The previous prime is 138797144688277. The next prime is 138797144688421. The reversal of 138797144688400 is 4886441797831.

The square root of 138797144688400 is 11781220.

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., 49966972087824 + 88830172600576 = 7068732^2 + 9424976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138797144688400.

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, 2591841625 + ... + 2591895175.

Almost surely, 2^{138797144688400} is an apocalyptic number.

138797144688400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138797144688400 is the 11781220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138797144688400

138797144688400 is an abundant number, since it is smaller than the sum of its proper divisors (227740267185989).

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

138797144688400 is an frugal number, since it uses more digits than its factorization.

138797144688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107142 (or 53569 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 70.

The spelling of 138797144688400 in words is "one hundred thirty-eight trillion, seven hundred ninety-seven billion, one hundred forty-four million, six hundred eighty-eight thousand, four hundred".