138675989760 has 648 divisors, whose sum is σ = 566393855328. Its totient is φ = 28811059200.

The previous prime is 138675989747. The next prime is 138675989761. The reversal of 138675989760 is 67989576831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138675989761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22764315 + ... + 22770405.

Almost surely, 2^138675989760 is an apocalyptic number.

138675989760 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 138675989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283196927664).

138675989760 is an abundant number, since it is smaller than the sum of its proper divisors (427717865568).

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

138675989760 is a wasteful number, since it uses less digits than its factorization.

138675989760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 69.

The spelling of 138675989760 in words is "one hundred thirty-eight billion, six hundred seventy-five million, nine hundred eighty-nine thousand, seven hundred sixty".