138033252000 has 1152 divisors, whose sum is σ = 596586332160. Its totient is φ = 29523916800.

The previous prime is 138033251989. The next prime is 138033252001. The reversal of 138033252000 is 252330831.

138033252000 is a `hidden beast` number, since 1 + 380 + 33 + 252 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (138033252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 608075887 + ... + 608076113.

It is an arithmetic number, because the mean of its divisors is an integer number (517870080).

Almost surely, 2^138033252000 is an apocalyptic number.

138033252000 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 138033252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298293166080).

138033252000 is an abundant number, since it is smaller than the sum of its proper divisors (458553080160).

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

138033252000 is a wasteful number, since it uses less digits than its factorization.

138033252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 138033252000 its reverse (252330831), we get a palindrome (138285582831).

The spelling of 138033252000 in words is "one hundred thirty-eight billion, thirty-three million, two hundred fifty-two thousand".