45135200 has 144 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 15628800.

The previous prime is 45135169. The next prime is 45135217. The reversal of 45135200 is 253154.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 202289 + ... + 202511.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^45135200 is an apocalyptic number.

45135200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

45135200 is an abundant number, since it is smaller than the sum of its proper divisors (80856736).

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

45135200 is a wasteful number, since it uses less digits than its factorization.

45135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 45135200 is about 6718.2735877605. The cubic root of 45135200 is about 356.0451905769.

Adding to 45135200 its reverse (253154), we get a palindrome (45388354).

The spelling of 45135200 in words is "forty-five million, one hundred thirty-five thousand, two hundred".