138682368000 has 1360 divisors, whose sum is σ = 593783087040. Its totient is φ = 31850496000.

The previous prime is 138682367987. The next prime is 138682368029. The reversal of 138682368000 is 863286831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7299071991 + ... + 7299072009.

Almost surely, 2^138682368000 is an apocalyptic number.

138682368000 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 138682368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296891543520).

138682368000 is an abundant number, since it is smaller than the sum of its proper divisors (455100719040).

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

138682368000 is an frugal number, since it uses more digits than its factorization.

138682368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 138682368000 in words is "one hundred thirty-eight billion, six hundred eighty-two million, three hundred sixty-eight thousand".