135362304 has 324 divisors, whose sum is σ = 499819320. Its totient is φ = 34836480.

The previous prime is 135362299. The next prime is 135362333. The reversal of 135362304 is 403263531.

It is a happy number.

135362304 is a `hidden beast` number, since 1 + 35 + 3 + 623 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241802 + ... + 1241910.

Almost surely, 2^135362304 is an apocalyptic number.

135362304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249909660).

135362304 is an abundant number, since it is smaller than the sum of its proper divisors (364457016).

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

135362304 is a wasteful number, since it uses less digits than its factorization.

135362304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135362304 is about 11634.5306738175. The cubic root of 135362304 is about 513.4512860263.

The spelling of 135362304 in words is "one hundred thirty-five million, three hundred sixty-two thousand, three hundred four".