135542304 has 72 divisors (see below), whose sum is σ = 387567180. Its totient is φ = 44932608.

The previous prime is 135542279. The next prime is 135542311. The reversal of 135542304 is 403245531.

135542304 is a `hidden beast` number, since 1 + 355 + 4 + 2 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131331600 + 4210704 = 11460^2 + 2052^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55542 + ... + 57930.

Almost surely, 2^135542304 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 135542304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193783590).

135542304 is an abundant number, since it is smaller than the sum of its proper divisors (252024876).

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

135542304 is a wasteful number, since it uses less digits than its factorization.

135542304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 135542304 is about 11642.2636974087. The cubic root of 135542304 is about 513.6787750018.

Adding to 135542304 its reverse (403245531), we get a palindrome (538787835).

The spelling of 135542304 in words is "one hundred thirty-five million, five hundred forty-two thousand, three hundred four".