45144000 has 448 divisors, whose sum is σ = 190195200. Its totient is φ = 10368000.

The previous prime is 45143971. The next prime is 45144007. The reversal of 45144000 is 44154.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2375991 + ... + 2376009.

Almost surely, 2^45144000 is an apocalyptic number.

45144000 is a gapful number since it is divisible by the number (40) 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 45144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95097600).

45144000 is an abundant number, since it is smaller than the sum of its proper divisors (145051200).

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

45144000 is a wasteful number, since it uses less digits than its factorization.

45144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45144000 is about 6718.9284860013. The cubic root of 45144000 is about 356.0683284240.

Adding to 45144000 its reverse (44154), we get a palindrome (45188154).

The spelling of 45144000 in words is "forty-five million, one hundred forty-four thousand".