135213024 has 48 divisors (see below), whose sum is σ = 355577040. Its totient is φ = 44989440.

The previous prime is 135213007. The next prime is 135213037. The reversal of 135213024 is 420312531.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76794 + ... + 78534.

It is an arithmetic number, because the mean of its divisors is an integer number (7407855).

Almost surely, 2^135213024 is an apocalyptic number.

It is an amenable number.

135213024 is an abundant number, since it is smaller than the sum of its proper divisors (220364016).

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

135213024 is a wasteful number, since it uses less digits than its factorization.

135213024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2555 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 135213024 is about 11628.1135185377. The cubic root of 135213024 is about 513.2624688070.

Adding to 135213024 its reverse (420312531), we get a palindrome (555525555).

The spelling of 135213024 in words is "one hundred thirty-five million, two hundred thirteen thousand, twenty-four".