145824 has 72 divisors (see below), whose sum is σ = 459648. Its totient is φ = 40320.

The previous prime is 145823. The next prime is 145829. The reversal of 145824 is 428541.

145824 = 53² + 54² + ... + 83².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145794 and 145803.

It is not an unprimeable number, because it can be changed into a prime (145823) 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 11 ways as a sum of consecutive naturals, for example, 4689 + ... + 4719.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2¹⁴⁵⁸²⁴ is an apocalyptic number.

145824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

145824 is an abundant number, since it is smaller than the sum of its proper divisors (313824).

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

145824 is a wasteful number, since it uses less digits than its factorization.

145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 145824 is about 381.8690875156. The cubic root of 145824 is about 52.6352070481.

It can be divided in two parts, 145 and 824, that added together give a palindrome (969).

The spelling of 145824 in words is "one hundred forty-five thousand, eight hundred twenty-four".