135243576 has 192 divisors, whose sum is σ = 419328000. Its totient is φ = 39087360.

The previous prime is 135243571. The next prime is 135243593. The reversal of 135243576 is 675342531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135243576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135243571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711905 + ... + 1711983.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2^135243576 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 135243576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209664000).

135243576 is an abundant number, since it is smaller than the sum of its proper divisors (284084424).

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

135243576 is a wasteful number, since it uses less digits than its factorization.

135243576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135243576 is about 11629.4271570013. The cubic root of 135243576 is about 513.3011238950.

The spelling of 135243576 in words is "one hundred thirty-five million, two hundred forty-three thousand, five hundred seventy-six".