145793824 has 48 divisors (see below), whose sum is σ = 314616960. Its totient is φ = 65954560.

The previous prime is 145793773. The next prime is 145793833. The reversal of 145793824 is 428397541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83262 + ... + 84994.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2^145793824 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 145793824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480).

145793824 is an abundant number, since it is smaller than the sum of its proper divisors (168823136).

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

145793824 is a wasteful number, since it uses less digits than its factorization.

145793824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1985 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 145793824 is about 12074.5113358678. The cubic root of 145793824 is about 526.3157611958.

The spelling of 145793824 in words is "one hundred forty-five million, seven hundred ninety-three thousand, eight hundred twenty-four".