135505545445512 has 72 divisors (see below), whose sum is σ = 403390303185870. Its totient is φ = 41062286496000.

The previous prime is 135505545445363. The next prime is 135505545445547. The reversal of 135505545445512 is 215544545505531.

135505545445512 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 0 + 5 + 5 + 45 + 44 + 551 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69872312589156 + 65633232856356 = 8358966^2 + 8101434^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7776939489 + ... + 7776956912.

Almost surely, 2^{135505545445512} is an apocalyptic number.

135505545445512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135505545445512 is an abundant number, since it is smaller than the sum of its proper divisors (267884757740358).

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

135505545445512 is a wasteful number, since it uses less digits than its factorization.

135505545445512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15553896435 (or 15553896417 counting only the distinct ones).

The product of its (nonzero) digits is 30000000, while the sum is 54.

The spelling of 135505545445512 in words is "one hundred thirty-five trillion, five hundred five billion, five hundred forty-five million, four hundred forty-five thousand, five hundred twelve".