133095564 has 108 divisors (see below), whose sum is σ = 394377984. Its totient is φ = 37735488.

The previous prime is 133095539. The next prime is 133095569. The reversal of 133095564 is 465590331.

133095564 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 95 + 564 = 666.

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 (133095569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 347317 + ... + 347699.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2^133095564 is an apocalyptic number.

133095564 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 133095564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197188992).

133095564 is an abundant number, since it is smaller than the sum of its proper divisors (261282420).

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

133095564 is a wasteful number, since it uses less digits than its factorization.

133095564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 133095564 is about 11536.7050755404. The cubic root of 133095564 is about 510.5690994338.

The spelling of 133095564 in words is "one hundred thirty-three million, ninety-five thousand, five hundred sixty-four".