135213624 has 160 divisors (see below), whose sum is σ = 466324320. Its totient is φ = 35645184.

The previous prime is 135213623. The next prime is 135213643. The reversal of 135213624 is 426312531.

135213624 is a `hidden beast` number, since 1 + 35 + 2 + 1 + 3 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135213623) 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, 57822 + ... + 60114.

It is an arithmetic number, because the mean of its divisors is an integer number (2914527).

Almost surely, 2^135213624 is an apocalyptic number.

135213624 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 135213624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233162160).

135213624 is an abundant number, since it is smaller than the sum of its proper divisors (331110696).

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

135213624 is a wasteful number, since it uses less digits than its factorization.

135213624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2318 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 135213624 is about 11628.1393180508. The cubic root of 135213624 is about 513.2632279967.

The spelling of 135213624 in words is "one hundred thirty-five million, two hundred thirteen thousand, six hundred twenty-four".