138106880 has 48 divisors (see below), whose sum is σ = 331400160. Its totient is φ = 55238656.

The previous prime is 138106879. The next prime is 138106883. The reversal of 138106880 is 88601831.

It is a happy number.

138106880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138106880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138106883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3497 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (6904170).

Almost surely, 2^138106880 is an apocalyptic number.

138106880 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 138106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165700080).

138106880 is an abundant number, since it is smaller than the sum of its proper divisors (193293280).

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

138106880 is an equidigital number, since it uses as much as digits as its factorization.

138106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13494 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 138106880 is about 11751.8883588979. Note that the first 3 decimals coincide. The cubic root of 138106880 is about 516.8983010394.

The spelling of 138106880 in words is "one hundred thirty-eight million, one hundred six thousand, eight hundred eighty".