138018249600 has 1536 divisors, whose sum is σ = 617789030400. Its totient is φ = 26210304000.

The previous prime is 138018249583. The next prime is 138018249697. The reversal of 138018249600 is 6942810831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 435388642 + ... + 435388958.

It is an arithmetic number, because the mean of its divisors is an integer number (402206400).

Almost surely, 2^138018249600 is an apocalyptic number.

138018249600 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 138018249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308894515200).

138018249600 is an abundant number, since it is smaller than the sum of its proper divisors (479770780800).

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

138018249600 is a wasteful number, since it uses less digits than its factorization.

138018249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 138018249600 in words is "one hundred thirty-eight billion, eighteen million, two hundred forty-nine thousand, six hundred".