133434012024 has 96 divisors (see below), whose sum is σ = 364957632000. Its totient is φ = 44039552256.

The previous prime is 133434012011. The next prime is 133434012031. The reversal of 133434012024 is 420210434331.

133434012024 is a `hidden beast` number, since 13 + 3 + 43 + 401 + 202 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4639962 + ... + 4668630.

It is an arithmetic number, because the mean of its divisors is an integer number (3801642000).

Almost surely, 2^133434012024 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 133434012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182478816000).

133434012024 is an abundant number, since it is smaller than the sum of its proper divisors (231523619976).

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

133434012024 is a wasteful number, since it uses less digits than its factorization.

133434012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29317 (or 29310 counting only the distinct ones).

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

Adding to 133434012024 its reverse (420210434331), we get a palindrome (553644446355).

The spelling of 133434012024 in words is "one hundred thirty-three billion, four hundred thirty-four million, twelve thousand, twenty-four".