133904 has 10 divisors (see below), whose sum is σ = 259470. Its totient is φ = 66944.

The previous prime is 133877. The next prime is 133919. The reversal of 133904 is 409331.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 10000 = 352^2 + 100^2 .

It is a pancake number, because a pancake can be divided into 133904 parts by 517 straight cuts.

It is an unprimeable number.

133904 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 4169 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (25947).

2^{133904} is an apocalyptic number.

It is an amenable number.

133904 is a deficient number, since it is larger than the sum of its proper divisors (125566).

133904 is an equidigital number, since it uses as much as digits as its factorization.

133904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 133904 is about 365.9289548533. The cubic root of 133904 is about 51.1600762991.

The spelling of 133904 in words is "one hundred thirty-three thousand, nine hundred four".

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