145813824 has 112 divisors (see below), whose sum is σ = 461711040. Its totient is φ = 44858880.

The previous prime is 145813823. The next prime is 145813841. The reversal of 145813824 is 428318541.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145813823) 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, 19219 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (4122420).

Almost surely, 2^145813824 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 145813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230855520).

145813824 is an abundant number, since it is smaller than the sum of its proper divisors (315897216).

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

145813824 is a wasteful number, since it uses less digits than its factorization.

145813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6509 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 145813824 is about 12075.3394983330. The cubic root of 145813824 is about 526.3398267646.

The spelling of 145813824 in words is "one hundred forty-five million, eight hundred thirteen thousand, eight hundred twenty-four".