133240434012 has 144 divisors (see below), whose sum is σ = 386673880320. Its totient is φ = 37895337216.

The previous prime is 133240434011. The next prime is 133240434023. The reversal of 133240434012 is 210434042331.

133240434012 is a `hidden beast` number, since 13 + 3 + 240 + 4 + 3 + 401 + 2 = 666.

It is a super-2 number, since 2×133240434012² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133240434011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82808664 + ... + 82810272.

It is an arithmetic number, because the mean of its divisors is an integer number (2685235280).

Almost surely, 2^133240434012 is an apocalyptic number.

133240434012 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 133240434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193336940160).

133240434012 is an abundant number, since it is smaller than the sum of its proper divisors (253433446308).

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

133240434012 is a wasteful number, since it uses less digits than its factorization.

133240434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 133240434012 its reverse (210434042331), we get a palindrome (343674476343).

The spelling of 133240434012 in words is "one hundred thirty-three billion, two hundred forty million, four hundred thirty-four thousand, twelve".