138267320100 has 288 divisors, whose sum is σ = 500724618240. Its totient is φ = 28678095360.

The previous prime is 138267320071. The next prime is 138267320111. The reversal of 138267320100 is 1023762831.

138267320100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1567779 + ... + 1653621.

Almost surely, 2^138267320100 is an apocalyptic number.

138267320100 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 138267320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250362309120).

138267320100 is an abundant number, since it is smaller than the sum of its proper divisors (362457298140).

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

138267320100 is a wasteful number, since it uses less digits than its factorization.

138267320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85939 (or 85932 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 138267320100 in words is "one hundred thirty-eight billion, two hundred sixty-seven million, three hundred twenty thousand, one hundred".