138324880 has 40 divisors (see below), whose sum is σ = 324747072. Its totient is φ = 54789504.

The previous prime is 138324871. The next prime is 138324887. The reversal of 138324880 is 88423831.

138324880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (138324887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 154 + ... + 16633.

Almost surely, 2^138324880 is an apocalyptic number.

138324880 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 138324880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162373536).

138324880 is an abundant number, since it is smaller than the sum of its proper divisors (186422192).

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

138324880 is a wasteful number, since it uses less digits than its factorization.

138324880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16903 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 138324880 is about 11761.1598067538. The cubic root of 138324880 is about 517.1701305856.

The spelling of 138324880 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, eight hundred eighty".