45162144 has 96 divisors (see below), whose sum is σ = 132935040. Its totient is φ = 14916096.

The previous prime is 45162127. The next prime is 45162151. The reversal of 45162144 is 44126154.

45162144 is a `hidden beast` number, since 4 + 516 + 2 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 144132 + ... + 144444.

It is an arithmetic number, because the mean of its divisors is an integer number (1384740).

Almost surely, 2^45162144 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 45162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66467520).

45162144 is an abundant number, since it is smaller than the sum of its proper divisors (87772896).

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

45162144 is a wasteful number, since it uses less digits than its factorization.

45162144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 45162144 is about 6720.2785656548. The cubic root of 45162144 is about 356.1160249686.

Adding to 45162144 its reverse (44126154), we get a palindrome (89288298).

The spelling of 45162144 in words is "forty-five million, one hundred sixty-two thousand, one hundred forty-four".