138125688257 has 8 divisors (see below), whose sum is σ = 141085069056. Its totient is φ = 135167163232.

The previous prime is 138125688251. The next prime is 138125688263. The reversal of 138125688257 is 752886521831.

It is an interprime number because it is at equal distance from previous prime (138125688251) and next prime (138125688263).

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 138125688257 - 2¹⁸ = 138125426113 is a prime.

It is a super-3 number, since 3×138125688257³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138125688251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117773 + ... + 538629.

It is an arithmetic number, because the mean of its divisors is an integer number (17635633632).

Almost surely, 2^138125688257 is an apocalyptic number.

It is an amenable number.

138125688257 is a deficient number, since it is larger than the sum of its proper divisors (2959380799).

138125688257 is an equidigital number, since it uses as much as digits as its factorization.

138125688257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427887.

The product of its digits is 6451200, while the sum is 56.

The spelling of 138125688257 in words is "one hundred thirty-eight billion, one hundred twenty-five million, six hundred eighty-eight thousand, two hundred fifty-seven".