45138168 has 64 divisors (see below), whose sum is σ = 127296000. Its totient is φ = 14816736.

The previous prime is 45138143. The next prime is 45138173. The reversal of 45138168 is 86183154.

45138168 is a `hidden beast` number, since 4 + 513 + 81 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12913 + ... + 16031.

It is an arithmetic number, because the mean of its divisors is an integer number (1989000).

Almost surely, 2^45138168 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 45138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648000).

45138168 is an abundant number, since it is smaller than the sum of its proper divisors (82157832).

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

45138168 is a wasteful number, since it uses less digits than its factorization.

45138168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3191 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 45138168 is about 6718.4944742107. The cubic root of 45138168 is about 356.0529946778.

The spelling of 45138168 in words is "forty-five million, one hundred thirty-eight thousand, one hundred sixty-eight".