135584016 has 40 divisors (see below), whose sum is σ = 353739264. Its totient is φ = 44745600.

The previous prime is 135583979. The next prime is 135584039. The reversal of 135584016 is 610485531.

It is a super-3 number, since 3×135584016³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9136 + ... + 18831.

Almost surely, 2^135584016 is an apocalyptic number.

135584016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135584016 is an abundant number, since it is smaller than the sum of its proper divisors (218155248).

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

135584016 is a wasteful number, since it uses less digits than its factorization.

135584016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28079 (or 28073 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 135584016 is about 11644.0549638002. The cubic root of 135584016 is about 513.7314630331.

The spelling of 135584016 in words is "one hundred thirty-five million, five hundred eighty-four thousand, sixteen".