138381226000 has 40 divisors (see below), whose sum is σ = 334605809304. Its totient is φ = 55352489600.

The previous prime is 138381225979. The next prime is 138381226007. The reversal of 138381226000 is 622183831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 38522697984 + 99858528016 = 196272^2 + 316004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (138381226007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34593307 + ... + 34597306.

Almost surely, 2^138381226000 is an apocalyptic number.

138381226000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138381226000 is an abundant number, since it is smaller than the sum of its proper divisors (196224583304).

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

138381226000 is an equidigital number, since it uses as much as digits as its factorization.

138381226000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69190636 (or 69190620 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 138381226000 in words is "one hundred thirty-eight billion, three hundred eighty-one million, two hundred twenty-six thousand".