138453120 has 288 divisors, whose sum is σ = 527124780. Its totient is φ = 33288192.

The previous prime is 138453089. The next prime is 138453121. The reversal of 138453120 is 21354831.

It is a happy number.

138453120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

138453120 is a nontrivial binomial coefficient, being equal to C(16641, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 128867904 + 9585216 = 11352^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (138453121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3219819 + ... + 3219861.

Almost surely, 2^138453120 is an apocalyptic number.

138453120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138453120 is the 16640-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263562390).

138453120 is an abundant number, since it is smaller than the sum of its proper divisors (388671660).

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

138453120 is a wasteful number, since it uses less digits than its factorization.

138453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138453120 is about 11766.6103870231. The cubic root of 138453120 is about 517.3299027890.

The spelling of 138453120 in words is "one hundred thirty-eight million, four hundred fifty-three thousand, one hundred twenty".