145982304 has 192 divisors, whose sum is σ = 471199680. Its totient is φ = 43683840.

The previous prime is 145982297. The next prime is 145982321. The reversal of 145982304 is 403289541.

It is a super-3 number, since 3×145982304³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 460354 + ... + 460670.

It is an arithmetic number, because the mean of its divisors is an integer number (2454165).

Almost surely, 2^145982304 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 145982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235599840).

145982304 is an abundant number, since it is smaller than the sum of its proper divisors (325217376).

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

145982304 is a wasteful number, since it uses less digits than its factorization.

145982304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145982304 is about 12082.3136857143. The cubic root of 145982304 is about 526.5424678206.

The spelling of 145982304 in words is "one hundred forty-five million, nine hundred eighty-two thousand, three hundred four".