135241344 has 192 divisors, whose sum is σ = 459962880. Its totient is φ = 37324800.

The previous prime is 135241291. The next prime is 135241363. The reversal of 135241344 is 443142531.

It is a happy number.

135241344 is a `hidden beast` number, since 1 + 3 + 524 + 134 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×135241344² = 36580442253852672, which contains 22 as substring.

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, 249714 + ... + 250254.

It is an arithmetic number, because the mean of its divisors is an integer number (2395640).

Almost surely, 2^135241344 is an apocalyptic number.

135241344 is a gapful number since it is divisible by the number (14) 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 135241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229981440).

135241344 is an abundant number, since it is smaller than the sum of its proper divisors (324721536).

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

135241344 is a wasteful number, since it uses less digits than its factorization.

135241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 584 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 135241344 is about 11629.3311931512. The cubic root of 135241344 is about 513.2983001147.

Adding to 135241344 its reverse (443142531), we get a palindrome (578383875).

The spelling of 135241344 in words is "one hundred thirty-five million, two hundred forty-one thousand, three hundred forty-four".