135667328 has 32 divisors (see below), whose sum is σ = 273334500. Its totient is φ = 67065856.

The previous prime is 135667313. The next prime is 135667379. The reversal of 135667328 is 823766531.

It can be written as a sum of positive squares in 2 ways, for example, as 127418944 + 8248384 = 11288^2 + 2872^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5438 + ... + 17346.

Almost surely, 2^135667328 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 135667328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136667250).

135667328 is an abundant number, since it is smaller than the sum of its proper divisors (137667172).

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

135667328 is an equidigital number, since it uses as much as digits as its factorization.

135667328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012 (or 12000 counting only the distinct ones).

The product of its digits is 181440, while the sum is 41.

The square root of 135667328 is about 11647.6318623143. The cubic root of 135667328 is about 513.8366652870.

The spelling of 135667328 in words is "one hundred thirty-five million, six hundred sixty-seven thousand, three hundred twenty-eight".