138116383488 has 216 divisors, whose sum is σ = 407302524720. Its totient is φ = 44998778880.

The previous prime is 138116383487. The next prime is 138116383501. The reversal of 138116383488 is 884383611831.

It is a happy number.

138116383488 is a `hidden beast` number, since 1 + 3 + 81 + 1 + 6 + 3 + 83 + 488 = 666.

It is a super-2 number, since 2×138116383488² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138116383487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22905658 + ... + 22911686.

Almost surely, 2^138116383488 is an apocalyptic number.

138116383488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138116383488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203651262360).

138116383488 is an abundant number, since it is smaller than the sum of its proper divisors (269186141232).

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

138116383488 is a wasteful number, since it uses less digits than its factorization.

138116383488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6258 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 138116383488 in words is "one hundred thirty-eight billion, one hundred sixteen million, three hundred eighty-three thousand, four hundred eighty-eight".