45182520 has 48 divisors (see below), whose sum is σ = 146844360. Its totient is φ = 12048576.

The previous prime is 45182519. The next prime is 45182521. The reversal of 45182520 is 2528154.

It is a happy number.

45182520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45182519) and next prime (45182521).

It is a super-2 number, since 2×45182520² = 4082920227100800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45182521) 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 11 ways as a sum of consecutive naturals, for example, 62394 + ... + 63113.

Almost surely, 2^45182520 is an apocalyptic number.

45182520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45182520 is an abundant number, since it is smaller than the sum of its proper divisors (101661840).

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

45182520 is a wasteful number, since it uses less digits than its factorization.

45182520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125524 (or 125517 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45182520 is about 6721.7944032825. The cubic root of 45182520 is about 356.1695737189.

The spelling of 45182520 in words is "forty-five million, one hundred eighty-two thousand, five hundred twenty".