45665136 has 120 divisors (see below), whose sum is σ = 141133824. Its totient is φ = 13668480.

The previous prime is 45665131. The next prime is 45665161. The reversal of 45665136 is 63156654.

45665136 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 a self number, because there is not a number n which added to its sum of digits gives 45665136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45665131) 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 23 ways as a sum of consecutive naturals, for example, 201055 + ... + 201281.

Almost surely, 2^45665136 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 45665136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70566912).

45665136 is an abundant number, since it is smaller than the sum of its proper divisors (95468688).

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

45665136 is a wasteful number, since it uses less digits than its factorization.

45665136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 370 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45665136 is about 6757.5983899607. The cubic root of 45665136 is about 357.4332240350.

It can be divided in two parts, 4566 and 5136, that multiplied together give a triangular number (23450976 = T₆₈₄₈).

The spelling of 45665136 in words is "forty-five million, six hundred sixty-five thousand, one hundred thirty-six".