138828164841225 has 36 divisors (see below), whose sum is σ = 248658103975996. Its totient is φ = 74041260503040.

The previous prime is 138828164841137. The next prime is 138828164841227. The reversal of 138828164841225 is 522148461828831.

138828164841225 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 28 + 1 + 6 + 484 + 122 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11520451084041 + 127307713757184 = 3394179^2 + 11283072^2 .

It is not a de Polignac number, because 138828164841225 - 2¹⁴ = 138828164824841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138828164841227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39393837 + ... + 42773013.

Almost surely, 2^{138828164841225} is an apocalyptic number.

138828164841225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138828164841225 is a deficient number, since it is larger than the sum of its proper divisors (109829939134771).

138828164841225 is a wasteful number, since it uses less digits than its factorization.

138828164841225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561786 (or 3561778 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 138828164841225 in words is "one hundred thirty-eight trillion, eight hundred twenty-eight billion, one hundred sixty-four million, eight hundred forty-one thousand, two hundred twenty-five".