138324480 has 320 divisors, whose sum is σ = 527966208. Its totient is φ = 30228480.

The previous prime is 138324467. The next prime is 138324481. The reversal of 138324480 is 84423831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138324481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666519 + ... + 1666601.

Almost surely, 2^138324480 is an apocalyptic number.

138324480 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 138324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263983104).

138324480 is an abundant number, since it is smaller than the sum of its proper divisors (389641728).

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

138324480 is an equidigital number, since it uses as much as digits as its factorization.

138324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 138324480 is about 11761.1428016158. The cubic root of 138324480 is about 517.1696320774.

The spelling of 138324480 in words is "one hundred thirty-eight million, three hundred twenty-four thousand, four hundred eighty".