138999351828480 has 896 divisors, whose sum is σ = 524824880670720. Its totient is φ = 30968024924160.

The previous prime is 138999351828443. The next prime is 138999351828509. The reversal of 138999351828480 is 84828153999831.

It is a super-2 number, since 2×138999351828480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 138999351828396 and 138999351828405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4023934089 + ... + 4023968631.

It is an arithmetic number, because the mean of its divisors is an integer number (585742054320).

Almost surely, 2^{138999351828480} is an apocalyptic number.

138999351828480 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 138999351828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262412440335360).

138999351828480 is an abundant number, since it is smaller than the sum of its proper divisors (385825528842240).

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

138999351828480 is a wasteful number, since it uses less digits than its factorization.

138999351828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34830 (or 34806 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 78.

The spelling of 138999351828480 in words is "one hundred thirty-eight trillion, nine hundred ninety-nine billion, three hundred fifty-one million, eight hundred twenty-eight thousand, four hundred eighty".