145613824 has 44 divisors (see below), whose sum is σ = 297944944. Its totient is φ = 71092224.

The previous prime is 145613807. The next prime is 145613873. The reversal of 145613824 is 428316541.

It is a self number, because there is not a number n which added to its sum of digits gives 145613824.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42379 + ... + 45685.

It is an arithmetic number, because the mean of its divisors is an integer number (6771476).

Almost surely, 2^145613824 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 145613824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148972472).

145613824 is an abundant number, since it is smaller than the sum of its proper divisors (152331120).

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

145613824 is an equidigital number, since it uses as much as digits as its factorization.

145613824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3352 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 145613824 is about 12067.0553160247. The cubic root of 145613824 is about 526.0990719717.

The spelling of 145613824 in words is "one hundred forty-five million, six hundred thirteen thousand, eight hundred twenty-four".