135505403114120 has 64 divisors (see below), whose sum is σ = 329331979448640. Its totient is φ = 49881607776000.

The previous prime is 135505403114117. The next prime is 135505403114149. The reversal of 135505403114120 is 21411304505531.

It is a happy number.

It is a super-3 number, since 3×135505403114120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393464306 + ... + 393808545.

It is an arithmetic number, because the mean of its divisors is an integer number (5145812178885).

Almost surely, 2^{135505403114120} is an apocalyptic number.

135505403114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135505403114120 is an abundant number, since it is smaller than the sum of its proper divisors (193826576334520).

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

135505403114120 is a wasteful number, since it uses less digits than its factorization.

135505403114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787273206 (or 787273202 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 135505403114120 its reverse (21411304505531), we get a palindrome (156916707619651).

The spelling of 135505403114120 in words is "one hundred thirty-five trillion, five hundred five billion, four hundred three million, one hundred fourteen thousand, one hundred twenty".