45750144 has 64 divisors (see below), whose sum is σ = 132583680. Its totient is φ = 13862400.

The previous prime is 45750121. The next prime is 45750149. The reversal of 45750144 is 44105754.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45750149) 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 7 ways as a sum of consecutive naturals, for example, 1192 + ... + 9639.

It is an arithmetic number, because the mean of its divisors is an integer number (2071620).

Almost surely, 2^45750144 is an apocalyptic number.

45750144 is a gapful number since it is divisible by the number (44) 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 45750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66291840).

45750144 is an abundant number, since it is smaller than the sum of its proper divisors (86833536).

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

45750144 is a wasteful number, since it uses less digits than its factorization.

45750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 45750144 is about 6763.8852740123. The cubic root of 45750144 is about 357.6548799957.

Adding to 45750144 its reverse (44105754), we get a palindrome (89855898).

The spelling of 45750144 in words is "forty-five million, seven hundred fifty thousand, one hundred forty-four".