146304 has 48 divisors (see below), whose sum is σ = 424320. Its totient is φ = 48384.

The previous prime is 146299. The next prime is 146309. The reversal of 146304 is 403641.

It is an interprime number because it is at equal distance from previous prime (146299) and next prime (146309).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146309) by changing a digit.

146304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1089 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (8840).

2¹⁴⁶³⁰⁴ 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 146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212160).

146304 is an abundant number, since it is smaller than the sum of its proper divisors (278016).

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

146304 is a wasteful number, since it uses less digits than its factorization.

146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 146304 is about 382.4970588122. The cubic root of 146304 is about 52.6928958351.

146304 divided by its sum of digits (18) gives a triangular number (8128 = T₁₂₇).

Adding to 146304 its reverse (403641), we get a palindrome (549945).

The spelling of 146304 in words is "one hundred forty-six thousand, three hundred four".