135248512 has 64 divisors (see below), whose sum is σ = 309623040. Its totient is φ = 57646080.

The previous prime is 135248471. The next prime is 135248513. The reversal of 135248512 is 215842531.

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

It is not an unprimeable number, because it can be changed into a prime (135248513) 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 7 ways as a sum of consecutive naturals, for example, 242538 + ... + 243094.

It is an arithmetic number, because the mean of its divisors is an integer number (4837860).

Almost surely, 2^135248512 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 135248512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154811520).

135248512 is an abundant number, since it is smaller than the sum of its proper divisors (174374528).

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

135248512 is an equidigital number, since it uses as much as digits as its factorization.

135248512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 135248512 is about 11629.6393753203. The cubic root of 135248512 is about 513.3073684886.

The spelling of 135248512 in words is "one hundred thirty-five million, two hundred forty-eight thousand, five hundred twelve".