135413482209404 has 192 divisors, whose sum is σ = 277641496903680. Its totient is φ = 56596621086720.

The previous prime is 135413482209391. The next prime is 135413482209409. The reversal of 135413482209404 is 404902284314531.

It is a happy number.

It is a super-2 number, since 2×135413482209404² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135413482209409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78138188522 + ... + 78138190254.

It is an arithmetic number, because the mean of its divisors is an integer number (1446049463040).

Almost surely, 2^{135413482209404} is an apocalyptic number.

135413482209404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135413482209404 is an abundant number, since it is smaller than the sum of its proper divisors (142228014694276).

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

135413482209404 is a wasteful number, since it uses less digits than its factorization.

135413482209404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 50.

The spelling of 135413482209404 in words is "one hundred thirty-five trillion, four hundred thirteen billion, four hundred eighty-two million, two hundred nine thousand, four hundred four".