133209153 has 48 divisors (see below), whose sum is σ = 241293312. Its totient is φ = 68796000.

The previous prime is 133209149. The next prime is 133209173. The reversal of 133209153 is 351902331.

It is a happy number.

It is not a de Polignac number, because 133209153 - 2² = 133209149 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133209113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145768 + ... + 146678.

It is an arithmetic number, because the mean of its divisors is an integer number (5026944).

Almost surely, 2^133209153 is an apocalyptic number.

It is an amenable number.

133209153 is a deficient number, since it is larger than the sum of its proper divisors (108084159).

133209153 is a wasteful number, since it uses less digits than its factorization.

133209153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133209153 is about 11541.6269650340. The cubic root of 133209153 is about 510.7143047312.

The spelling of 133209153 in words is "one hundred thirty-three million, two hundred nine thousand, one hundred fifty-three".