158304 has 48 divisors (see below), whose sum is σ = 444528. Its totient is φ = 49152.

The previous prime is 158303. The next prime is 158329. The reversal of 158304 is 403851.

158304 = T₇₉ + T₈₀ + ... + T₁₁₂.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 1680.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2¹⁵⁸³⁰⁴ 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 158304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264).

158304 is an abundant number, since it is smaller than the sum of its proper divisors (286224).

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

158304 is a wasteful number, since it uses less digits than its factorization.

158304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 158304 is about 397.8743520259. The cubic root of 158304 is about 54.0958517074.

The spelling of 158304 in words is "one hundred fifty-eight thousand, three hundred four".