135458406 has 88 divisors (see below), whose sum is σ = 323114304. Its totient is φ = 42515280.

The previous prime is 135458399. The next prime is 135458423. The reversal of 135458406 is 604854531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 3661020 + ... + 3661056.

Almost surely, 2^135458406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135458406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161557152).

135458406 is an abundant number, since it is smaller than the sum of its proper divisors (187655898).

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

135458406 is an frugal number, since it uses more digits than its factorization.

135458406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 135458406 is about 11638.6599744129. The cubic root of 135458406 is about 513.5727674660.

The spelling of 135458406 in words is "one hundred thirty-five million, four hundred fifty-eight thousand, four hundred six".