45203136 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 12881920.

The previous prime is 45203131. The next prime is 45203149. The reversal of 45203136 is 63130254.

It is a happy number.

45203136 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 (24).

It is not an unprimeable number, because it can be changed into a prime (45203131) 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 15 ways as a sum of consecutive naturals, for example, 35275 + ... + 36533.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 2^45203136 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 45203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

45203136 is an abundant number, since it is smaller than the sum of its proper divisors (93054144).

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

45203136 is a wasteful number, since it uses less digits than its factorization.

45203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 45203136 is about 6723.3277474774. The cubic root of 45203136 is about 356.2237368143.

The spelling of 45203136 in words is "forty-five million, two hundred three thousand, one hundred thirty-six".