135350105500440 has 192 divisors, whose sum is σ = 452299433414400. Its totient is φ = 35087470119936.

The previous prime is 135350105500417. The next prime is 135350105500487. The reversal of 135350105500440 is 44005501053531.

135350105500440 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 5 + 0 + 105 + 500 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135350105500395 and 135350105500404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30460744 + ... + 34620183.

It is an arithmetic number, because the mean of its divisors is an integer number (2355726215700).

Almost surely, 2^{135350105500440} is an apocalyptic number.

135350105500440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135350105500440 is an abundant number, since it is smaller than the sum of its proper divisors (316949327913960).

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

135350105500440 is a wasteful number, since it uses less digits than its factorization.

135350105500440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65081106 (or 65081099 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 135350105500440 its reverse (44005501053531), we get a palindrome (179355606553971).

The spelling of 135350105500440 in words is "one hundred thirty-five trillion, three hundred fifty billion, one hundred five million, five hundred thousand, four hundred forty".