133002012 has 96 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 36910080.

The previous prime is 133001983. The next prime is 133002029. The reversal of 133002012 is 210200331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306948 + ... + 307380.

It is an arithmetic number, because the mean of its divisors is an integer number (3827880).

Almost surely, 2^133002012 is an apocalyptic number.

133002012 is a gapful number since it is divisible by the number (12) 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 133002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

133002012 is an abundant number, since it is smaller than the sum of its proper divisors (234474468).

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

133002012 is a wasteful number, since it uses less digits than its factorization.

133002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133002012 is about 11532.6498256038. The cubic root of 133002012 is about 510.4494461699.

Adding to 133002012 its reverse (210200331), we get a palindrome (343202343).

The spelling of 133002012 in words is "one hundred thirty-three million, two thousand, twelve".