138129617 has 8 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 136301584.

The previous prime is 138129611. The next prime is 138129643. The reversal of 138129617 is 716921831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138129617 - 2¹⁶ = 138064081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138129611) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26384 + ... + 31182.

It is an arithmetic number, because the mean of its divisors is an integer number (17496000).

Almost surely, 2^138129617 is an apocalyptic number.

It is an amenable number.

138129617 is a deficient number, since it is larger than the sum of its proper divisors (1838383).

138129617 is a wasteful number, since it uses less digits than its factorization.

138129617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175.

The product of its digits is 18144, while the sum is 38.

The square root of 138129617 is about 11752.8556955320. The cubic root of 138129617 is about 516.9266657179.

The spelling of 138129617 in words is "one hundred thirty-eight million, one hundred twenty-nine thousand, six hundred seventeen".