45065120 has 48 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 17767680.

The previous prime is 45065107. The next prime is 45065143. The reversal of 45065120 is 2156054.

45065120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45065120² = 4061730081228800, which contains 22 as substring.

It is an unprimeable number.

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, 9377 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^45065120 is an apocalyptic number.

45065120 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 45065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

45065120 is an abundant number, since it is smaller than the sum of its proper divisors (62927968).

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

45065120 is a wasteful number, since it uses less digits than its factorization.

45065120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 45065120 is about 6713.0559360101. The cubic root of 45065120 is about 355.8608217473.

The spelling of 45065120 in words is "forty-five million, sixty-five thousand, one hundred twenty".