135504306 has 96 divisors (see below), whose sum is σ = 355078080. Its totient is φ = 38187072.

The previous prime is 135504287. The next prime is 135504307. The reversal of 135504306 is 603405531.

135504306 is a `hidden beast` number, since 1 + 355 + 0 + 4 + 306 = 666.

It is a super-2 number, since 2×135504306² = 36722833889083272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135504306.

It is not an unprimeable number, because it can be changed into a prime (135504307) 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 47 ways as a sum of consecutive naturals, for example, 219310 + ... + 219926.

It is an arithmetic number, because the mean of its divisors is an integer number (3698730).

Almost surely, 2^135504306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135504306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177539040).

135504306 is an abundant number, since it is smaller than the sum of its proper divisors (219573774).

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

135504306 is a wasteful number, since it uses less digits than its factorization.

135504306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

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

The square root of 135504306 is about 11640.6316838907. The cubic root of 135504306 is about 513.6307688572.

Adding to 135504306 its reverse (603405531), we get a palindrome (738909837).

The spelling of 135504306 in words is "one hundred thirty-five million, five hundred four thousand, three hundred six".