138282765600 has 288 divisors, whose sum is σ = 514776802176. Its totient is φ = 31585075200.

The previous prime is 138282765589. The next prime is 138282765613. The reversal of 138282765600 is 6567282831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 138282765600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39999072 + ... + 40002528.

It is an arithmetic number, because the mean of its divisors is an integer number (1787419452).

Almost surely, 2^138282765600 is an apocalyptic number.

138282765600 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 138282765600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257388401088).

138282765600 is an abundant number, since it is smaller than the sum of its proper divisors (376494036576).

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

138282765600 is a wasteful number, since it uses less digits than its factorization.

138282765600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 138282765600 in words is "one hundred thirty-eight billion, two hundred eighty-two million, seven hundred sixty-five thousand, six hundred".