138633625 has 16 divisors (see below), whose sum is σ = 186325776. Its totient is φ = 102374400.

The previous prime is 138633559. The next prime is 138633629. The reversal of 138633625 is 526336831.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24314761 + 114318864 = 4931^2 + 10692^2 .

It is not a de Polignac number, because 138633625 - 2²¹ = 136536473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138633629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41032 + ... + 44281.

It is an arithmetic number, because the mean of its divisors is an integer number (11645361).

Almost surely, 2^138633625 is an apocalyptic number.

It is an amenable number.

138633625 is a deficient number, since it is larger than the sum of its proper divisors (47692151).

138633625 is an equidigital number, since it uses as much as digits as its factorization.

138633625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85341 (or 85331 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 138633625 is about 11774.2781095063. The cubic root of 138633625 is about 517.5546240581.

The spelling of 138633625 in words is "one hundred thirty-eight million, six hundred thirty-three thousand, six hundred twenty-five".