135578304 has 84 divisors (see below), whose sum is σ = 392237976. Its totient is φ = 44771328.

The previous prime is 135578291. The next prime is 135578363. The reversal of 135578304 is 403875531.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 64047 + ... + 66129.

Almost surely, 2^135578304 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 135578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196118988).

135578304 is an abundant number, since it is smaller than the sum of its proper divisors (256659672).

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

135578304 is a wasteful number, since it uses less digits than its factorization.

135578304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135578304 is about 11643.8096858374. The cubic root of 135578304 is about 513.7242486249.

The spelling of 135578304 in words is "one hundred thirty-five million, five hundred seventy-eight thousand, three hundred four".