133506604 has 48 divisors (see below), whose sum is σ = 301351680. Its totient is φ = 50218560.

The previous prime is 133506601. The next prime is 133506623. The reversal of 133506604 is 406605331.

133506604 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133506604² = 35648026623225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133506601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459 + ... + 16405.

It is an arithmetic number, because the mean of its divisors is an integer number (6278160).

Almost surely, 2^133506604 is an apocalyptic number.

133506604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133506604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150675840).

133506604 is an abundant number, since it is smaller than the sum of its proper divisors (167845076).

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

133506604 is a wasteful number, since it uses less digits than its factorization.

133506604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14998 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 133506604 is about 11554.5057877869. The cubic root of 133506604 is about 511.0941573807.

The spelling of 133506604 in words is "one hundred thirty-three million, five hundred six thousand, six hundred four".