45138366 has 96 divisors (see below), whose sum is σ = 127528128. Its totient is φ = 11197440.

The previous prime is 45138361. The next prime is 45138367. The reversal of 45138366 is 66383154.

45138366 is a `hidden beast` number, since 4 + 513 + 83 + 66 = 666.

45138366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45138366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45138361) by changing a digit.

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, 27036 + ... + 28656.

It is an arithmetic number, because the mean of its divisors is an integer number (1328418).

Almost surely, 2^45138366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45138366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63764064).

45138366 is an abundant number, since it is smaller than the sum of its proper divisors (82389762).

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

45138366 is a wasteful number, since it uses less digits than its factorization.

45138366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1663 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 45138366 is about 6718.5092096387. The cubic root of 45138366 is about 356.0535152896.

The spelling of 45138366 in words is "forty-five million, one hundred thirty-eight thousand, three hundred sixty-six".