138688027440 has 80 divisors (see below), whose sum is σ = 429968858208. Its totient is φ = 36980379648.

The previous prime is 138688027399. The next prime is 138688027441. The reversal of 138688027440 is 44720886831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×138688027440³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (138688027441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5173752 + ... + 5200488.

Almost surely, 2^138688027440 is an apocalyptic number.

138688027440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138688027440 is an abundant number, since it is smaller than the sum of its proper divisors (291280830768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138688027440 is a wasteful number, since it uses less digits than its factorization.

138688027440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48366 (or 48360 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 138688027440 in words is "one hundred thirty-eight billion, six hundred eighty-eight million, twenty-seven thousand, four hundred forty".