135722304 has 98 divisors (see below), whose sum is σ = 403940010. Its totient is φ = 45225216.

The previous prime is 135722297. The next prime is 135722317. The reversal of 135722304 is 403227531.

135722304 is a `hidden beast` number, since 1 + 357 + 2 + 2 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131056704 + 4665600 = 11448^2 + 2160^2 .

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

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 45202 + ... + 48110.

Almost surely, 2^135722304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135722304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201970005).

135722304 is an abundant number, since it is smaller than the sum of its proper divisors (268217706).

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

135722304 is an frugal number, since it uses more digits than its factorization.

135722304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 135722304 is about 11649.9915879798. The cubic root of 135722304 is about 513.9060626629.

Adding to 135722304 its reverse (403227531), we get a palindrome (538949835).

It can be divided in two parts, 13572 and 2304, that added together give a square (15876 = 126²).

The spelling of 135722304 in words is "one hundred thirty-five million, seven hundred twenty-two thousand, three hundred four".