45145824 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 13957632.

The previous prime is 45145823. The next prime is 45145831. The reversal of 45145824 is 42854154.

It is a happy number.

45145824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45145823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96439 + ... + 96905.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^45145824 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 45145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

45145824 is an abundant number, since it is smaller than the sum of its proper divisors (82225056).

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

45145824 is a wasteful number, since it uses less digits than its factorization.

45145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 45145824 is about 6719.0642205593. The cubic root of 45145824 is about 356.0731238925.

Adding to 45145824 its reverse (42854154), we get a palindrome (87999978).

The spelling of 45145824 in words is "forty-five million, one hundred forty-five thousand, eight hundred twenty-four".