138243274136100 has 567 divisors, whose sum is σ = 523293054835971. Its totient is φ = 31593383337600.

The previous prime is 138243274136059. The next prime is 138243274136111. The reversal of 138243274136100 is 1631472342831.

It is a happy number.

The square root of 138243274136100 is 11757690.

It is a perfect power (a square), and thus also a powerful number.

138243274136100 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 3 + 27 + 4 + 1 + 3 + 610 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61443430479396 + 76799843656704 = 7838586^2 + 8763552^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-3 number, since 3×138243274136100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 22222030990 + ... + 22222037210.

Almost surely, 2^{138243274136100} is an apocalyptic number.

138243274136100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138243274136100 is the 11757690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138243274136100

138243274136100 is an abundant number, since it is smaller than the sum of its proper divisors (385049780699871).

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

138243274136100 is an frugal number, since it uses more digits than its factorization.

138243274136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12488 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 138243274136100 in words is "one hundred thirty-eight trillion, two hundred forty-three billion, two hundred seventy-four million, one hundred thirty-six thousand, one hundred".