135537248 has 96 divisors (see below), whose sum is σ = 338059008. Its totient is φ = 51955200.

The previous prime is 135537223. The next prime is 135537287. The reversal of 135537248 is 842735531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164678 + ... + 165498.

It is an arithmetic number, because the mean of its divisors is an integer number (3521448).

Almost surely, 2^135537248 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 135537248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169029504).

135537248 is an abundant number, since it is smaller than the sum of its proper divisors (202521760).

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

135537248 is a wasteful number, since it uses less digits than its factorization.

135537248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 135537248 is about 11642.0465554816. The cubic root of 135537248 is about 513.6723878392.

The spelling of 135537248 in words is "one hundred thirty-five million, five hundred thirty-seven thousand, two hundred forty-eight".