138210767100 has 432 divisors, whose sum is σ = 544077676800. Its totient is φ = 29927802240.

The previous prime is 138210767083. The next prime is 138210767113. The reversal of 138210767100 is 1767012831.

138210767100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138210767100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2486209 + ... + 2541191.

Almost surely, 2^138210767100 is an apocalyptic number.

138210767100 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 138210767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272038838400).

138210767100 is an abundant number, since it is smaller than the sum of its proper divisors (405866909700).

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

138210767100 is a wasteful number, since it uses less digits than its factorization.

138210767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55039 (or 55019 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 138210767100 its reverse (1767012831), we get a palindrome (139977779931).

The spelling of 138210767100 in words is "one hundred thirty-eight billion, two hundred ten million, seven hundred sixty-seven thousand, one hundred".