138189534755337 has 24 divisors (see below), whose sum is σ = 217177596448904. Its totient is φ = 84163015609344.

The previous prime is 138189534755291. The next prime is 138189534755387. The reversal of 138189534755337 is 733557435981831.

138189534755337 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 9 + 5 + 34 + 7 + 553 + 37 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6130273931721 + 132059260823616 = 2475939^2 + 11491704^2 .

It is not a de Polignac number, because 138189534755337 - 2¹¹ = 138189534753289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138189534755387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6088169758 + ... + 6088192455.

Almost surely, 2^{138189534755337} is an apocalyptic number.

It is an amenable number.

138189534755337 is a deficient number, since it is larger than the sum of its proper divisors (78988061693567).

138189534755337 is a wasteful number, since it uses less digits than its factorization.

138189534755337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12176362329 (or 12176362326 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 72.

The spelling of 138189534755337 in words is "one hundred thirty-eight trillion, one hundred eighty-nine billion, five hundred thirty-four million, seven hundred fifty-five thousand, three hundred thirty-seven".