138482304 has 64 divisors (see below), whose sum is σ = 375719040. Its totient is φ = 45172736.

The previous prime is 138482299. The next prime is 138482329. The reversal of 138482304 is 403284831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×138482304² = 38354697042296832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14212 + ... + 21884.

It is an arithmetic number, because the mean of its divisors is an integer number (5870610).

Almost surely, 2^138482304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187859520).

138482304 is an abundant number, since it is smaller than the sum of its proper divisors (237236736).

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

138482304 is an equidigital number, since it uses as much as digits as its factorization.

138482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7725 counting only the distinct ones).

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

The square root of 138482304 is about 11767.8504409259. The cubic root of 138482304 is about 517.3662488947.

The spelling of 138482304 in words is "one hundred thirty-eight million, four hundred eighty-two thousand, three hundred four".