138134304 has 144 divisors (see below), whose sum is σ = 489827520. Its totient is φ = 35873280.

The previous prime is 138134303. The next prime is 138134309. The reversal of 138134304 is 403431831.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (138134303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19062 + ... + 25290.

It is an arithmetic number, because the mean of its divisors is an integer number (3401580).

Almost surely, 2^138134304 is an apocalyptic number.

138134304 is a gapful number since it is divisible by the number (14) 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 138134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244913760).

138134304 is an abundant number, since it is smaller than the sum of its proper divisors (351693216).

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

138134304 is a wasteful number, since it uses less digits than its factorization.

138134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138134304 is about 11753.0550921877. The cubic root of 138134304 is about 516.9325124193.

The spelling of 138134304 in words is "one hundred thirty-eight million, one hundred thirty-four thousand, three hundred four".