138663982080 has 1408 divisors, whose sum is σ = 581046681600. Its totient is φ = 31054233600.

The previous prime is 138663982073. The next prime is 138663982081. The reversal of 138663982080 is 80289366831.

It is a happy number.

It is a super-2 number, since 2×138663982080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138663982081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1058503615 + ... + 1058503745.

It is an arithmetic number, because the mean of its divisors is an integer number (412675200).

Almost surely, 2^138663982080 is an apocalyptic number.

138663982080 is a gapful number since it is divisible by the number (10) 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 138663982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290523340800).

138663982080 is an abundant number, since it is smaller than the sum of its proper divisors (442382699520).

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

138663982080 is a wasteful number, since it uses less digits than its factorization.

138663982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 138663982080 in words is "one hundred thirty-eight billion, six hundred sixty-three million, nine hundred eighty-two thousand, eighty".