135510510433144 has 32 divisors (see below), whose sum is σ = 316777816598400. Its totient is φ = 52796302765920.

The previous prime is 135510510433097. The next prime is 135510510433171. The reversal of 135510510433144 is 441334015015531.

135510510433144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135510510433097 and 135510510433106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109992296814 + ... + 109992298045.

It is an arithmetic number, because the mean of its divisors is an integer number (9899306768700).

Almost surely, 2^{135510510433144} is an apocalyptic number.

135510510433144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135510510433144 is an abundant number, since it is smaller than the sum of its proper divisors (181267306165256).

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

135510510433144 is a wasteful number, since it uses less digits than its factorization.

135510510433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219984594883 (or 219984594879 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

Adding to 135510510433144 its reverse (441334015015531), we get a palindrome (576844525448675).

The spelling of 135510510433144 in words is "one hundred thirty-five trillion, five hundred ten billion, five hundred ten million, four hundred thirty-three thousand, one hundred forty-four".