45133360 has 80 divisors (see below), whose sum is σ = 115349760. Its totient is φ = 16346880.

The previous prime is 45133357. The next prime is 45133393. The reversal of 45133360 is 6333154.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 34315 + ... + 35605.

It is an arithmetic number, because the mean of its divisors is an integer number (1441872).

Almost surely, 2^45133360 is an apocalyptic number.

45133360 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 45133360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674880).

45133360 is an abundant number, since it is smaller than the sum of its proper divisors (70216400).

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

45133360 is a wasteful number, since it uses less digits than its factorization.

45133360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 45133360 is about 6718.1366464221. The cubic root of 45133360 is about 356.0403522832.

The spelling of 45133360 in words is "forty-five million, one hundred thirty-three thousand, three hundred sixty".