135320406 has 64 divisors (see below), whose sum is σ = 299194560. Its totient is φ = 40550400.

The previous prime is 135320401. The next prime is 135320417. The reversal of 135320406 is 604023531.

It is a happy number.

It is a super-2 number, since 2×135320406² = 36623224560009672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701046 + ... + 701238.

It is an arithmetic number, because the mean of its divisors is an integer number (4674915).

Almost surely, 2^135320406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135320406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149597280).

135320406 is an abundant number, since it is smaller than the sum of its proper divisors (163874154).

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

135320406 is a wasteful number, since it uses less digits than its factorization.

135320406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135320406 is about 11632.7299461476. The cubic root of 135320406 is about 513.3983052449.

Adding to 135320406 its reverse (604023531), we get a palindrome (739343937).

The spelling of 135320406 in words is "one hundred thirty-five million, three hundred twenty thousand, four hundred six".