138324775680 has 1296 divisors, whose sum is σ = 615036362304. Its totient is φ = 29023764480.

The previous prime is 138324775649. The next prime is 138324775723. The reversal of 138324775680 is 86577423831.

It is a happy number.

138324775680 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 2 + 4 + 77 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764225190 + ... + 764225370.

Almost surely, 2^138324775680 is an apocalyptic number.

138324775680 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 138324775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307518181152).

138324775680 is an abundant number, since it is smaller than the sum of its proper divisors (476711586624).

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

138324775680 is an frugal number, since it uses more digits than its factorization.

138324775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 138324775680 in words is "one hundred thirty-eight billion, three hundred twenty-four million, seven hundred seventy-five thousand, six hundred eighty".