45135948 has 96 divisors (see below), whose sum is σ = 128136960. Its totient is φ = 12176640.

The previous prime is 45135947. The next prime is 45135983. The reversal of 45135948 is 84953154.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45135947) 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 31 ways as a sum of consecutive naturals, for example, 49311 + ... + 50217.

It is an arithmetic number, because the mean of its divisors is an integer number (1334760).

Almost surely, 2^45135948 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 45135948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64068480).

45135948 is an abundant number, since it is smaller than the sum of its proper divisors (83001012).

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

45135948 is a wasteful number, since it uses less digits than its factorization.

45135948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 45135948 is about 6718.3292565935. The cubic root of 45135948 is about 356.0471574108.

The spelling of 45135948 in words is "forty-five million, one hundred thirty-five thousand, nine hundred forty-eight".