45333144 has 48 divisors (see below), whose sum is σ = 124062120. Its totient is φ = 14952960.

The previous prime is 45333133. The next prime is 45333149. The reversal of 45333144 is 44133354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45333149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3739 + ... + 10229.

Almost surely, 2^45333144 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 45333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62031060).

45333144 is an abundant number, since it is smaller than the sum of its proper divisors (78728976).

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

45333144 is a wasteful number, since it uses less digits than its factorization.

45333144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6593 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 45333144 is about 6732.9892321316. The cubic root of 45333144 is about 356.5649196869.

Adding to 45333144 its reverse (44133354), we get a palindrome (89466498).

The spelling of 45333144 in words is "forty-five million, three hundred thirty-three thousand, one hundred forty-four".