135109296 has 200 divisors, whose sum is σ = 456961824. Its totient is φ = 37739520.

The previous prime is 135109283. The next prime is 135109297. The reversal of 135109296 is 692901531.

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 135109296.

It is not an unprimeable number, because it can be changed into a prime (135109297) 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 39 ways as a sum of consecutive naturals, for example, 480676 + ... + 480956.

Almost surely, 2^135109296 is an apocalyptic number.

135109296 is a gapful number since it is divisible by the number (16) 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 135109296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228480912).

135109296 is an abundant number, since it is smaller than the sum of its proper divisors (321852528).

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

135109296 is a wasteful number, since it uses less digits than its factorization.

135109296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 135109296 is about 11623.6524380248. The cubic root of 135109296 is about 513.1311863122.

The spelling of 135109296 in words is "one hundred thirty-five million, one hundred nine thousand, two hundred ninety-six".