45144720 has 60 divisors (see below), whose sum is σ = 151613436. Its totient is φ = 12038400.

The previous prime is 45144719. The next prime is 45144727. The reversal of 45144720 is 2744154.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 26378496 = 4332^2 + 5136^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (45144727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30631 + ... + 32070.

Almost surely, 2^45144720 is an apocalyptic number.

45144720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45144720 is an abundant number, since it is smaller than the sum of its proper divisors (106468716).

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

45144720 is a wasteful number, since it uses less digits than its factorization.

45144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62720 (or 62711 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 45144720 is about 6718.9820657597. The cubic root of 45144720 is about 356.0702213875.

Adding to 45144720 its reverse (2744154), we get a palindrome (47888874).

The spelling of 45144720 in words is "forty-five million, one hundred forty-four thousand, seven hundred twenty".