138753874225 has 6 divisors (see below), whose sum is σ = 172054804070. Its totient is φ = 111003099360.

The previous prime is 138753874213. The next prime is 138753874241. The reversal of 138753874225 is 522478357831.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2241359649 + 136512514576 = 47343^2 + 369476^2 .

It is not a de Polignac number, because 138753874225 - 2¹³ = 138753866033 is a prime.

It is a super-3 number, since 3×138753874225³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2775077460 + ... + 2775077509.

Almost surely, 2^138753874225 is an apocalyptic number.

It is an amenable number.

138753874225 is a deficient number, since it is larger than the sum of its proper divisors (33300929845).

138753874225 is an equidigital number, since it uses as much as digits as its factorization.

138753874225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550154979 (or 5550154974 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 55.

The spelling of 138753874225 in words is "one hundred thirty-eight billion, seven hundred fifty-three million, eight hundred seventy-four thousand, two hundred twenty-five".