133616385 has 60 divisors (see below), whose sum is σ = 278666388. Its totient is φ = 61072704.

The previous prime is 133616359. The next prime is 133616387. The reversal of 133616385 is 583616331.

It is a happy number.

133616385 is a `hidden beast` number, since 1 + 3 + 3 + 616 + 38 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102880449 + 30735936 = 10143^2 + 5544^2 .

It is not a de Polignac number, because 133616385 - 2⁸ = 133616129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133616387) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16479 + ... + 23211.

Almost surely, 2^133616385 is an apocalyptic number.

133616385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133616385 is an abundant number, since it is smaller than the sum of its proper divisors (145050003).

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

133616385 is an equidigital number, since it uses as much as digits as its factorization.

133616385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6748 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 133616385 is about 11559.2553825928. The cubic root of 133616385 is about 511.2342080196.

The spelling of 133616385 in words is "one hundred thirty-three million, six hundred sixteen thousand, three hundred eighty-five".