45135488 has 64 divisors (see below), whose sum is σ = 96410400. Its totient is φ = 20984832.

The previous prime is 45135479. The next prime is 45135511. The reversal of 45135488 is 88453154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162806 + ... + 163082.

Almost surely, 2^45135488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48205200).

45135488 is an abundant number, since it is smaller than the sum of its proper divisors (51274912).

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

45135488 is a wasteful number, since it uses less digits than its factorization.

45135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 76800, while the sum is 38.

The square root of 45135488 is about 6718.2950218043. The cubic root of 45135488 is about 356.0459478631.

It can be divided in two parts, 4513 and 5488, that added together give a palindrome (10001).

The spelling of 45135488 in words is "forty-five million, one hundred thirty-five thousand, four hundred eighty-eight".