145878304 has 96 divisors (see below), whose sum is σ = 342921600. Its totient is φ = 60211200.

The previous prime is 145878289. The next prime is 145878307. The reversal of 145878304 is 403878541.

It is not an unprimeable number, because it can be changed into a prime (145878307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324672 + ... + 325120.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2^145878304 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 145878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171460800).

145878304 is an abundant number, since it is smaller than the sum of its proper divisors (197043296).

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

145878304 is a wasteful number, since it uses less digits than its factorization.

145878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 145878304 is about 12078.0091074647. The cubic root of 145878304 is about 526.4173991779.

The spelling of 145878304 in words is "one hundred forty-five million, eight hundred seventy-eight thousand, three hundred four".