135085344 has 48 divisors (see below), whose sum is σ = 355985280. Its totient is φ = 44852480.

The previous prime is 135085331. The next prime is 135085367. The reversal of 135085344 is 443580531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23209 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (7416360).

Almost surely, 2^135085344 is an apocalyptic number.

It is an amenable number.

135085344 is an abundant number, since it is smaller than the sum of its proper divisors (220899936).

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

135085344 is a wasteful number, since it uses less digits than its factorization.

135085344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5513 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 135085344 is about 11622.6220793761. The cubic root of 135085344 is about 513.1008621108.

The spelling of 135085344 in words is "one hundred thirty-five million, eighty-five thousand, three hundred forty-four".