138203518752 has 216 divisors, whose sum is σ = 446701302684. Its totient is φ = 40285651968.

The previous prime is 138203518727. The next prime is 138203518759. The reversal of 138203518752 is 257815302831.

138203518752 is a `hidden beast` number, since 1 + 3 + 82 + 0 + 3 + 518 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137608353936 + 595164816 = 370956^2 + 24396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138203518698 and 138203518707.

It is not an unprimeable number, because it can be changed into a prime (138203518759) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1300458 + ... + 1402710.

Almost surely, 2^138203518752 is an apocalyptic number.

138203518752 is a gapful number since it is divisible by the number (12) 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 138203518752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223350651342).

138203518752 is an abundant number, since it is smaller than the sum of its proper divisors (308497783932).

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

138203518752 is a wasteful number, since it uses less digits than its factorization.

138203518752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102320 (or 102290 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 138203518752 in words is "one hundred thirty-eight billion, two hundred three million, five hundred eighteen thousand, seven hundred fifty-two".