135433543131144 has 96 divisors (see below), whose sum is σ = 379481765644800. Its totient is φ = 43583862430080.

The previous prime is 135433543131067. The next prime is 135433543131149. The reversal of 135433543131144 is 441131345334531.

135433543131144 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 33 + 543 + 1 + 31 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135433543131144.

It is not an unprimeable number, because it can be changed into a prime (135433543131149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20186847 + ... + 26045649.

It is an arithmetic number, because the mean of its divisors is an integer number (3952935058800).

Almost surely, 2^{135433543131144} is an apocalyptic number.

It is an amenable number.

135433543131144 is an abundant number, since it is smaller than the sum of its proper divisors (244048222513656).

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

135433543131144 is a wasteful number, since it uses less digits than its factorization.

135433543131144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869915 (or 5869908 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

Adding to 135433543131144 its reverse (441131345334531), we get a palindrome (576564888465675).

The spelling of 135433543131144 in words is "one hundred thirty-five trillion, four hundred thirty-three billion, five hundred forty-three million, one hundred thirty-one thousand, one hundred forty-four".