133464906 has 48 divisors (see below), whose sum is σ = 303600960. Its totient is φ = 42292800.

The previous prime is 133464901. The next prime is 133464917. The reversal of 133464906 is 609464331.

133464906 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 649 + 0 + 6 = 666.

It is a super-2 number, since 2×133464906² = 35625762267177672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133464901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73206 + ... + 75006.

It is an arithmetic number, because the mean of its divisors is an integer number (6325020).

Almost surely, 2^133464906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133464906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151800480).

133464906 is an abundant number, since it is smaller than the sum of its proper divisors (170136054).

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

133464906 is a wasteful number, since it uses less digits than its factorization.

133464906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 133464906 is about 11552.7012425666. The cubic root of 133464906 is about 511.0409419774.

The spelling of 133464906 in words is "one hundred thirty-three million, four hundred sixty-four thousand, nine hundred six".