45183120 has 80 divisors (see below), whose sum is σ = 144609792. Its totient is φ = 11658240.

The previous prime is 45183119. The next prime is 45183143. The reversal of 45183120 is 2138154.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4404 + ... + 10476.

Almost surely, 2^45183120 is an apocalyptic number.

45183120 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 45183120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72304896).

45183120 is an abundant number, since it is smaller than the sum of its proper divisors (99426672).

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

45183120 is a wasteful number, since it uses less digits than its factorization.

45183120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 45183120 is about 6721.8390340739. The cubic root of 45183120 is about 356.1711502932.

The spelling of 45183120 in words is "forty-five million, one hundred eighty-three thousand, one hundred twenty".