133006464 has 96 divisors (see below), whose sum is σ = 385070400. Its totient is φ = 44066304.

The previous prime is 133006463. The next prime is 133006469. The reversal of 133006464 is 464600331.

133006464 is a `hidden beast` number, since 13 + 3 + 0 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (133006463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302757 + ... + 303195.

It is an arithmetic number, because the mean of its divisors is an integer number (4011150).

Almost surely, 2^133006464 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 133006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535200).

133006464 is an abundant number, since it is smaller than the sum of its proper divisors (252063936).

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

133006464 is a wasteful number, since it uses less digits than its factorization.

133006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 133006464 is about 11532.8428412079. The cubic root of 133006464 is about 510.4551415614.

Adding to 133006464 its reverse (464600331), we get a palindrome (597606795).

The spelling of 133006464 in words is "one hundred thirty-three million, six thousand, four hundred sixty-four".