135248960 has 168 divisors, whose sum is σ = 405384000. Its totient is φ = 42071040.

The previous prime is 135248929. The next prime is 135248987. The reversal of 135248960 is 69842531.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 270791 + ... + 271289.

It is an arithmetic number, because the mean of its divisors is an integer number (2413000).

Almost surely, 2^135248960 is an apocalyptic number.

135248960 is a gapful number since it is divisible by the number (10) 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 135248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202692000).

135248960 is an abundant number, since it is smaller than the sum of its proper divisors (270135040).

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

135248960 is a wasteful number, since it uses less digits than its factorization.

135248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 135248960 is about 11629.6586364347. The cubic root of 135248960 is about 513.3079352513.

The spelling of 135248960 in words is "one hundred thirty-five million, two hundred forty-eight thousand, nine hundred sixty".