135141344 has 48 divisors (see below), whose sum is σ = 288428112. Its totient is φ = 61959168.

The previous prime is 135141317. The next prime is 135141359. The reversal of 135141344 is 443141531.

It is a happy number.

It is a super-3 number, since 3×135141344³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 66812 + ... + 68804.

It is an arithmetic number, because the mean of its divisors is an integer number (6008919).

Almost surely, 2^135141344 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 135141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144214056).

135141344 is an abundant number, since it is smaller than the sum of its proper divisors (153286768).

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

135141344 is a wasteful number, since it uses less digits than its factorization.

135141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2171 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 135141344 is about 11625.0309246901. The cubic root of 135141344 is about 513.1717547721.

Adding to 135141344 its reverse (443141531), we get a palindrome (578282875).

The spelling of 135141344 in words is "one hundred thirty-five million, one hundred forty-one thousand, three hundred forty-four".