45144500 has 24 divisors (see below), whose sum is σ = 98596680. Its totient is φ = 18057600.

The previous prime is 45144493. The next prime is 45144509. The reversal of 45144500 is 544154.

45144500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 682276 + 44462224 = 826^2 + 6668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45144509) 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 7 ways as a sum of consecutive naturals, for example, 44645 + ... + 45644.

It is an arithmetic number, because the mean of its divisors is an integer number (4108195).

Almost surely, 2^45144500 is an apocalyptic number.

It is an amenable number.

45144500 is an abundant number, since it is smaller than the sum of its proper divisors (53452180).

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

45144500 is a wasteful number, since it uses less digits than its factorization.

45144500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90308 (or 90296 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 45144500 is about 6718.9656942122. The cubic root of 45144500 is about 356.0696429841.

Adding to 45144500 its reverse (544154), we get a palindrome (45688654).

It can be divided in two parts, 45 and 144500, that multiplied together give a square (6502500 = 2550²).

The spelling of 45144500 in words is "forty-five million, one hundred forty-four thousand, five hundred".