45135480 has 64 divisors (see below), whose sum is σ = 145827360. Its totient is φ = 11109888.

The previous prime is 45135479. The next prime is 45135511. The reversal of 45135480 is 8453154.

45135480 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 (30).

It is a congruent number.

It is an unprimeable number.

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, 12907 + ... + 16026.

Almost surely, 2^45135480 is an apocalyptic number.

45135480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45135480 is an abundant number, since it is smaller than the sum of its proper divisors (100691880).

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

45135480 is a wasteful number, since it uses less digits than its factorization.

45135480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28960 (or 28956 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 45135480 is about 6718.2944264151. The cubic root of 45135480 is about 356.0459268274.

The spelling of 45135480 in words is "forty-five million, one hundred thirty-five thousand, four hundred eighty".