133306656 has 144 divisors (see below), whose sum is σ = 431264736. Its totient is φ = 35825664.

The previous prime is 133306633. The next prime is 133306661. The reversal of 133306656 is 656603331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79135 + ... + 80801.

It is an arithmetic number, because the mean of its divisors is an integer number (2994894).

Almost surely, 2^133306656 is an apocalyptic number.

133306656 is a gapful number since it is divisible by the number (16) 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 133306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215632368).

133306656 is an abundant number, since it is smaller than the sum of its proper divisors (297958080).

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

133306656 is a wasteful number, since it uses less digits than its factorization.

133306656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 133306656 is about 11545.8501635869. The cubic root of 133306656 is about 510.8388808361.

Adding to 133306656 its reverse (656603331), we get a palindrome (789909987).

The spelling of 133306656 in words is "one hundred thirty-three million, three hundred six thousand, six hundred fifty-six".