45165900 has 144 divisors (see below), whose sum is σ = 144997664. Its totient is φ = 10782720.

The previous prime is 45165881. The next prime is 45165929. The reversal of 45165900 is 956154.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144144 + ... + 144456.

Almost surely, 2^45165900 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 45165900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72498832).

45165900 is an abundant number, since it is smaller than the sum of its proper divisors (99831764).

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

45165900 is a wasteful number, since it uses less digits than its factorization.

45165900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 45165900 is about 6720.5580125463. The cubic root of 45165900 is about 356.1258970619.

The spelling of 45165900 in words is "forty-five million, one hundred sixty-five thousand, nine hundred".