138291226100 has 54 divisors (see below), whose sum is σ = 300614198262. Its totient is φ = 55220360000.

The previous prime is 138291226079. The next prime is 138291226109. The reversal of 138291226100 is 1622192831.

It can be written as a sum of positive squares in 3 ways, for example, as 2057892496 + 136233333604 = 45364^2 + 369098^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138291226109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106295450 + ... + 106296750.

Almost surely, 2^138291226100 is an apocalyptic number.

138291226100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138291226100 is an abundant number, since it is smaller than the sum of its proper divisors (162322972162).

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

138291226100 is a wasteful number, since it uses less digits than its factorization.

138291226100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 138291226100 in words is "one hundred thirty-eight billion, two hundred ninety-one million, two hundred twenty-six thousand, one hundred".