135003321405 has 64 divisors (see below), whose sum is σ = 248376499200. Its totient is φ = 69492487680.

The previous prime is 135003321379. The next prime is 135003321407. The reversal of 135003321405 is 504123300531.

135003321405 is a `hidden beast` number, since 13 + 500 + 3 + 3 + 2 + 140 + 5 = 666.

It is not a de Polignac number, because 135003321405 - 2²⁵ = 134969766973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135003321407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14210617 + ... + 14220113.

It is an arithmetic number, because the mean of its divisors is an integer number (3880882800).

Almost surely, 2^135003321405 is an apocalyptic number.

135003321405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135003321405 is a deficient number, since it is larger than the sum of its proper divisors (113373177795).

135003321405 is a wasteful number, since it uses less digits than its factorization.

135003321405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13165 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 135003321405 its reverse (504123300531), we get a palindrome (639126621936).

The spelling of 135003321405 in words is "one hundred thirty-five billion, three million, three hundred twenty-one thousand, four hundred five".