135345310144 has 112 divisors (see below), whose sum is σ = 326554917120. Its totient is φ = 54854184960.

The previous prime is 135345310073. The next prime is 135345310159. The reversal of 135345310144 is 441013543531.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 70212 + ... + 524995.

Almost surely, 2^135345310144 is an apocalyptic number.

It is an amenable number.

135345310144 is an abundant number, since it is smaller than the sum of its proper divisors (191209606976).

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

135345310144 is a wasteful number, since it uses less digits than its factorization.

135345310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595266 (or 595256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 135345310144 its reverse (441013543531), we get a palindrome (576358853675).

The spelling of 135345310144 in words is "one hundred thirty-five billion, three hundred forty-five million, three hundred ten thousand, one hundred forty-four".