45137484 has 144 divisors (see below), whose sum is σ = 138098688. Its totient is φ = 12161664.

The previous prime is 45137479. The next prime is 45137501. The reversal of 45137484 is 48473154.

45137484 is a `hidden beast` number, since 45 + 137 + 484 = 666.

45137484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438177 + ... + 438279.

Almost surely, 2^45137484 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 45137484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69049344).

45137484 is an abundant number, since it is smaller than the sum of its proper divisors (92961204).

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

45137484 is a wasteful number, since it uses less digits than its factorization.

45137484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 199 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45137484 is about 6718.4435697563. The cubic root of 45137484 is about 356.0511961889.

The spelling of 45137484 in words is "forty-five million, one hundred thirty-seven thousand, four hundred eighty-four".