45069120 has 84 divisors (see below), whose sum is σ = 155028900. Its totient is φ = 12017664.

The previous prime is 45069119. The next prime is 45069139. The reversal of 45069120 is 2196054.

45069120 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 2 ways, for example, as 11614464 + 33454656 = 3408^2 + 5784^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4945 + ... + 10704.

Almost surely, 2^45069120 is an apocalyptic number.

45069120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45069120 is an abundant number, since it is smaller than the sum of its proper divisors (109959780).

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

45069120 is a wasteful number, since it uses less digits than its factorization.

45069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 45069120 is about 6713.3538563076. The cubic root of 45069120 is about 355.8713502239.

The spelling of 45069120 in words is "forty-five million, sixty-nine thousand, one hundred twenty".