135675904 has 135 divisors (see below), whose sum is σ = 341792577. Its totient is φ = 53673984.

The previous prime is 135675899. The next prime is 135675913. The reversal of 135675904 is 409576531.

The square root of 135675904 is 11648.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 115605504 = 4480^2 + 10752^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10436602 + ... + 10436614.

Almost surely, 2^135675904 is an apocalyptic number.

135675904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135675904 is the 11648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135675904

135675904 is an abundant number, since it is smaller than the sum of its proper divisors (206116673).

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

135675904 is an frugal number, since it uses more digits than its factorization.

135675904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

The cubic root of 135675904 is about 513.8474921885.

The spelling of 135675904 in words is "one hundred thirty-five million, six hundred seventy-five thousand, nine hundred four".