138241188000 has 384 divisors, whose sum is σ = 529689888000. Its totient is φ = 34923571200.

The previous prime is 138241187969. The next prime is 138241188061. The reversal of 138241188000 is 881142831.

It is a super-2 number, since 2×138241188000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 2018316 + ... + 2085684.

It is an arithmetic number, because the mean of its divisors is an integer number (1379400750).

Almost surely, 2^138241188000 is an apocalyptic number.

138241188000 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 138241188000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264844944000).

138241188000 is an abundant number, since it is smaller than the sum of its proper divisors (391448700000).

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

138241188000 is a wasteful number, since it uses less digits than its factorization.

138241188000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67422 (or 67398 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 138241188000 in words is "one hundred thirty-eight billion, two hundred forty-one million, one hundred eighty-eight thousand".