135362450353365 has 48 divisors (see below), whose sum is σ = 241243072093296. Its totient is φ = 70162405632000.

The previous prime is 135362450353307. The next prime is 135362450353409. The reversal of 135362450353365 is 563353054263531.

135362450353365 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 6 + 2 + 45 + 0 + 3 + 533 + 65 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 213036710481 + 135149413642884 = 461559^2 + 11625378^2 .

It is not a de Polignac number, because 135362450353365 - 2¹⁰ = 135362450352341 is a prime.

It is a Curzon number.

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, 44673186 + ... + 47606915.

It is an arithmetic number, because the mean of its divisors is an integer number (5025897335277).

Almost surely, 2^{135362450353365} is an apocalyptic number.

135362450353365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135362450353365 is a deficient number, since it is larger than the sum of its proper divisors (105880621739931).

135362450353365 is a wasteful number, since it uses less digits than its factorization.

135362450353365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92281030 (or 92281027 counting only the distinct ones).

The product of its (nonzero) digits is 43740000, while the sum is 54.

The spelling of 135362450353365 in words is "one hundred thirty-five trillion, three hundred sixty-two billion, four hundred fifty million, three hundred fifty-three thousand, three hundred sixty-five".