138321120 has 144 divisors (see below), whose sum is σ = 506934288. Its totient is φ = 31610880.

The previous prime is 138321089. The next prime is 138321143. The reversal of 138321120 is 21123831.

138321120 is nontrivially palindromic in base 9.

138321120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 11761²-1.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20580 + ... + 26460.

It is an arithmetic number, because the mean of its divisors is an integer number (3520377).

Almost surely, 2^138321120 is an apocalyptic number.

138321120 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 138321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253467144).

138321120 is an abundant number, since it is smaller than the sum of its proper divisors (368613168).

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

138321120 is a wasteful number, since it uses less digits than its factorization.

138321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 138321120 is about 11760.9999574866. Note that the first 4 decimals coincide. The cubic root of 138321120 is about 517.1654445708.

Adding to 138321120 its reverse (21123831), we get a palindrome (159444951).

The spelling of 138321120 in words is "one hundred thirty-eight million, three hundred twenty-one thousand, one hundred twenty".