133066824 has 64 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 39716160.

The previous prime is 133066807. The next prime is 133066907. The reversal of 133066824 is 428660331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13927 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2^133066824 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 133066824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

133066824 is an abundant number, since it is smaller than the sum of its proper divisors (235308216).

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

133066824 is a wasteful number, since it uses less digits than its factorization.

133066824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7606 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 133066824 is about 11535.4594186794. The cubic root of 133066824 is about 510.5323468635.

The spelling of 133066824 in words is "one hundred thirty-three million, sixty-six thousand, eight hundred twenty-four".