138381768000 has 1344 divisors, whose sum is σ = 619519021056. Its totient is φ = 28753920000.

The previous prime is 138381767977. The next prime is 138381768001. The reversal of 138381768000 is 867183831.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138381768001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265607740 + ... + 265608260.

Almost surely, 2^138381768000 is an apocalyptic number.

138381768000 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 138381768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309759510528).

138381768000 is an abundant number, since it is smaller than the sum of its proper divisors (481137253056).

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

138381768000 is a wasteful number, since it uses less digits than its factorization.

138381768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 138381768000 in words is "one hundred thirty-eight billion, three hundred eighty-one million, seven hundred sixty-eight thousand".