138800287868617 has 8 divisors (see below), whose sum is σ = 148825327276800. Its totient is φ = 128981950304064.

The previous prime is 138800287868591. The next prime is 138800287868633. The reversal of 138800287868617 is 716868782008831.

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 138800287868617 - 2³⁹ = 138250532054729 is a prime.

It is a super-3 number, since 3×138800287868617³ (a number of 43 digits) contains 333 as substring.

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 138800287868617.

It is not an unprimeable number, because it can be changed into a prime (138800287862617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51675459517 + ... + 51675462202.

It is an arithmetic number, because the mean of its divisors is an integer number (18603165909600).

Almost surely, 2^{138800287868617} is an apocalyptic number.

138800287868617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

138800287868617 is a deficient number, since it is larger than the sum of its proper divisors (10025039408183).

138800287868617 is a wasteful number, since it uses less digits than its factorization.

138800287868617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103350921815.

The product of its (nonzero) digits is 346816512, while the sum is 73.

The spelling of 138800287868617 in words is "one hundred thirty-eight trillion, eight hundred billion, two hundred eighty-seven million, eight hundred sixty-eight thousand, six hundred seventeen".