45132256 has 96 divisors (see below), whose sum is σ = 102876480. Its totient is φ = 19329024.

The previous prime is 45132221. The next prime is 45132259. The reversal of 45132256 is 65223154.

Its product of digits (7200) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45132259) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 507060 + ... + 507148.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^45132256 is an apocalyptic number.

45132256 is a gapful number since it is divisible by the number (46) 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 45132256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438240).

45132256 is an abundant number, since it is smaller than the sum of its proper divisors (57744224).

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

45132256 is a wasteful number, since it uses less digits than its factorization.

45132256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 45132256 is about 6718.0544802792. The cubic root of 45132256 is about 356.0374492439.

It can be divided in two parts, 4513 and 2256, that multiplied together give a triangular number (10181328 = T₄₅₁₂).

The spelling of 45132256 in words is "forty-five million, one hundred thirty-two thousand, two hundred fifty-six".