138622185800 has 108 divisors (see below), whose sum is σ = 375016143915. Its totient is φ = 47514969600.

The previous prime is 138622185799. The next prime is 138622185929. The reversal of 138622185800 is 8581226831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 42798506884 + 95823678916 = 206878^2 + 309554^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=263270.

It is a super-2 number, since 2×138622185800² (a number of 23 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 36855920 + ... + 36859680.

Almost surely, 2^138622185800 is an apocalyptic number.

138622185800 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 138622185800

138622185800 is an abundant number, since it is smaller than the sum of its proper divisors (236393958115).

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

138622185800 is an frugal number, since it uses more digits than its factorization.

138622185800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7552 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The spelling of 138622185800 in words is "one hundred thirty-eight billion, six hundred twenty-two million, one hundred eighty-five thousand, eight hundred".