138852000000 has 1512 divisors, whose sum is σ = 622773278400. Its totient is φ = 29030400000.

The previous prime is 138851999947. The next prime is 138852000013. The reversal of 138852000000 is 258831.

It is a happy number.

138852000000 is a `hidden beast` number, since 138 + 8 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4787999986 + ... + 4788000014.

Almost surely, 2^138852000000 is an apocalyptic number.

138852000000 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 138852000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311386639200).

138852000000 is an abundant number, since it is smaller than the sum of its proper divisors (483921278400).

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

138852000000 is an frugal number, since it uses more digits than its factorization.

138852000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 138852000000 its reverse (258831), we get a palindrome (138852258831).

The spelling of 138852000000 in words is "one hundred thirty-eight billion, eight hundred fifty-two million", and thus it is an aban number.