138758678080241 has 32 divisors (see below), whose sum is σ = 141647471247360. Its totient is φ = 135909082612800.

The previous prime is 138758678080199. The next prime is 138758678080271. The reversal of 138758678080241 is 142080876857831.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 138758678080241 - 2³⁸ = 138483800173297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138758678080271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4312876031 + ... + 4312908203.

It is an arithmetic number, because the mean of its divisors is an integer number (4426483476480).

Almost surely, 2^{138758678080241} is an apocalyptic number.

It is an amenable number.

138758678080241 is a deficient number, since it is larger than the sum of its proper divisors (2888793167119).

138758678080241 is a wasteful number, since it uses less digits than its factorization.

138758678080241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33717.

The product of its (nonzero) digits is 144506880, while the sum is 68.

The spelling of 138758678080241 in words is "one hundred thirty-eight trillion, seven hundred fifty-eight billion, six hundred seventy-eight million, eighty thousand, two hundred forty-one".