45243120 has 160 divisors (see below), whose sum is σ = 160114752. Its totient is φ = 10469376.

The previous prime is 45243097. The next prime is 45243127. The reversal of 45243120 is 2134254.

45243120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45243127) 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 31 ways as a sum of consecutive naturals, for example, 52614 + ... + 53466.

Almost surely, 2^45243120 is an apocalyptic number.

45243120 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 45243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057376).

45243120 is an abundant number, since it is smaller than the sum of its proper divisors (114871632).

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

45243120 is a wasteful number, since it uses less digits than its factorization.

45243120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45243120 is about 6726.3006177244. The cubic root of 45243120 is about 356.3287372902.

Adding to 45243120 its reverse (2134254), we get a palindrome (47377374).

The spelling of 45243120 in words is "forty-five million, two hundred forty-three thousand, one hundred twenty".