133087104 has 128 divisors (see below), whose sum is σ = 397840800. Its totient is φ = 43794432.

The previous prime is 133087091. The next prime is 133087121. The reversal of 133087104 is 401780331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×133087104² = 35424354502213632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 335034 + ... + 335430.

Almost surely, 2^133087104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198920400).

133087104 is an abundant number, since it is smaller than the sum of its proper divisors (264753696).

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

133087104 is an equidigital number, since it uses as much as digits as its factorization.

133087104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133087104 is about 11536.3384138989. The cubic root of 133087104 is about 510.5582813770.

The spelling of 133087104 in words is "one hundred thirty-three million, eighty-seven thousand, one hundred four".