138518068147200 has 792 divisors, whose sum is σ = 567001985467008. Its totient is φ = 31650642984960.

The previous prime is 138518068147183. The next prime is 138518068147237. The reversal of 138518068147200 is 2741860815831.

138518068147200 is a `hidden beast` number, since 1 + 3 + 8 + 518 + 0 + 6 + 81 + 47 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5439961669 + ... + 5439987131.

Almost surely, 2^{138518068147200} is an apocalyptic number.

138518068147200 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 138518068147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283500992733504).

138518068147200 is an abundant number, since it is smaller than the sum of its proper divisors (428483917319808).

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

138518068147200 is a wasteful number, since it uses less digits than its factorization.

138518068147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28879 (or 28853 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 138518068147200 in words is "one hundred thirty-eight trillion, five hundred eighteen billion, sixty-eight million, one hundred forty-seven thousand, two hundred".