138333327700 has 36 divisors (see below), whose sum is σ = 300549130812. Its totient is φ = 55265900800.

The previous prime is 138333327697. The next prime is 138333327823. The reversal of 138333327700 is 7723333831.

It can be written as a sum of positive squares in 6 ways, for example, as 1755777604 + 136577550096 = 41902^2 + 369564^2 .

It is a super-2 number, since 2×138333327700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760369 + ... + 924568.

It is an arithmetic number, because the mean of its divisors is an integer number (8348586967).

Almost surely, 2^138333327700 is an apocalyptic number.

138333327700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138333327700 is an abundant number, since it is smaller than the sum of its proper divisors (162215803112).

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

138333327700 is a wasteful number, since it uses less digits than its factorization.

138333327700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685772 (or 1685765 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 40.

The spelling of 138333327700 in words is "one hundred thirty-eight billion, three hundred thirty-three million, three hundred twenty-seven thousand, seven hundred".