45033120 has 144 divisors (see below), whose sum is σ = 167704992. Its totient is φ = 10913280.

The previous prime is 45033113. The next prime is 45033139. The reversal of 45033120 is 2133054.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45033093 and 45033102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14419 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (1164618).

Almost surely, 2^45033120 is an apocalyptic number.

45033120 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 45033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83852496).

45033120 is an abundant number, since it is smaller than the sum of its proper divisors (122671872).

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

45033120 is a wasteful number, since it uses less digits than its factorization.

45033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45033120 is about 6710.6720974877. The cubic root of 45033120 is about 355.7765714984.

Adding to 45033120 its reverse (2133054), we get a palindrome (47166174).

The spelling of 45033120 in words is "forty-five million, thirty-three thousand, one hundred twenty".