45135024 has 80 divisors (see below), whose sum is σ = 129051264. Its totient is φ = 13478400.

The previous prime is 45135011. The next prime is 45135031. The reversal of 45135024 is 42053154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45134985 and 45135003.

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 15 ways as a sum of consecutive naturals, for example, 37959 + ... + 39129.

Almost surely, 2^45135024 is an apocalyptic number.

45135024 is a gapful number since it is divisible by the number (44) 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 45135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64525632).

45135024 is an abundant number, since it is smaller than the sum of its proper divisors (83916240).

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

45135024 is a wasteful number, since it uses less digits than its factorization.

45135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45135024 is about 6718.2604891445. The cubic root of 45135024 is about 356.0447277893.

Adding to 45135024 its reverse (42053154), we get a palindrome (87188178).

The spelling of 45135024 in words is "forty-five million, one hundred thirty-five thousand, twenty-four".