45120128 has 64 divisors (see below), whose sum is σ = 94590720. Its totient is φ = 21411840.

The previous prime is 45120113. The next prime is 45120149. The reversal of 45120128 is 82102154.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329276 + ... + 329412.

It is an arithmetic number, because the mean of its divisors is an integer number (1477980).

Almost surely, 2^45120128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47295360).

45120128 is an abundant number, since it is smaller than the sum of its proper divisors (49470592).

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

45120128 is a wasteful number, since it uses less digits than its factorization.

45120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 45120128 is about 6717.1517773533. The cubic root of 45120128 is about 356.0055547675.

The spelling of 45120128 in words is "forty-five million, one hundred twenty thousand, one hundred twenty-eight".