138284230733800 has 96 divisors (see below), whose sum is σ = 326500239533400. Its totient is φ = 54458021191680.

The previous prime is 138284230733791. The next prime is 138284230733809. The reversal of 138284230733800 is 8337032482831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (138284230733791) and next prime (138284230733809).

It can be written as a sum of positive squares in 12 ways, for example, as 9847659057604 + 128436571676196 = 3138098^2 + 11332986^2 .

It is not an unprimeable number, because it can be changed into a prime (138284230733809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370065 + ... + 16634464.

Almost surely, 2^{138284230733800} is an apocalyptic number.

138284230733800 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 138284230733800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163250119766700).

138284230733800 is an abundant number, since it is smaller than the sum of its proper divisors (188216008799600).

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

138284230733800 is a wasteful number, since it uses less digits than its factorization.

138284230733800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005175 (or 17005166 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 52.

The spelling of 138284230733800 in words is "one hundred thirty-eight trillion, two hundred eighty-four billion, two hundred thirty million, seven hundred thirty-three thousand, eight hundred".