45128160 has 432 divisors, whose sum is σ = 198682848. Its totient is φ = 9123840.

The previous prime is 45128129. The next prime is 45128189. The reversal of 45128160 is 6182154.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219662 + ... + 1219698.

It is an arithmetic number, because the mean of its divisors is an integer number (459914).

Almost surely, 2^45128160 is an apocalyptic number.

45128160 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 45128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99341424).

45128160 is an abundant number, since it is smaller than the sum of its proper divisors (153554688).

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

45128160 is a wasteful number, since it uses less digits than its factorization.

45128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45128160 is about 6717.7496231997. The cubic root of 45128160 is about 356.0266781337.

The spelling of 45128160 in words is "forty-five million, one hundred twenty-eight thousand, one hundred sixty".