133672608 has 36 divisors (see below), whose sum is σ = 380132298. Its totient is φ = 44557440.

The previous prime is 133672607. The next prime is 133672613. The reversal of 133672608 is 806276331.

It is a happy number.

133672608 is a `hidden beast` number, since 13 + 36 + 7 + 2 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132987024 + 685584 = 11532^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×133672608³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 not an unprimeable number, because it can be changed into a prime (133672603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 231783 + ... + 232358.

Almost surely, 2^133672608 is an apocalyptic number.

133672608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133672608 is an abundant number, since it is smaller than the sum of its proper divisors (246459690).

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

133672608 is a wasteful number, since it uses less digits than its factorization.

133672608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464157 (or 464146 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133672608 is about 11561.6870741255. The cubic root of 133672608 is about 511.3059035439.

The spelling of 133672608 in words is "one hundred thirty-three million, six hundred seventy-two thousand, six hundred eight".