135865144224 has 144 divisors (see below), whose sum is σ = 388061037000. Its totient is φ = 45090275328.

The previous prime is 135865144213. The next prime is 135865144229. The reversal of 135865144224 is 422441568531.

135865144224 is a `hidden beast` number, since 1 + 3 + 586 + 5 + 1 + 4 + 42 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132423210000 + 3441934224 = 363900^2 + 58668^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 135865144224.

It is not an unprimeable number, because it can be changed into a prime (135865144229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84439932 + ... + 84441540.

Almost surely, 2^135865144224 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 135865144224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194030518500).

135865144224 is an abundant number, since it is smaller than the sum of its proper divisors (252195892776).

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

135865144224 is a wasteful number, since it uses less digits than its factorization.

135865144224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2716 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 135865144224 in words is "one hundred thirty-five billion, eight hundred sixty-five million, one hundred forty-four thousand, two hundred twenty-four".