45036 has 30 divisors (see below), whose sum is σ = 118580. Its totient is φ = 14904.

The previous prime is 45013. The next prime is 45053. The reversal of 45036 is 63054.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is an unprimeable number.

45036 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 9 ways as a sum of consecutive naturals, for example, 255 + ... + 393.

2⁴⁵⁰³⁶ 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 45036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59290).

45036 is an abundant number, since it is smaller than the sum of its proper divisors (73544).

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

45036 is a wasteful number, since it uses less digits than its factorization.

45036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45036 is about 212.2168702059. The cubic root of 45036 is about 35.5784155655.

Adding to 45036 its sum of digits (18), we get a palindrome (45054).

The spelling of 45036 in words is "forty-five thousand, thirty-six".