133020512 has 48 divisors (see below), whose sum is σ = 278419680. Its totient is φ = 62343168.

The previous prime is 133020499. The next prime is 133020541. The reversal of 133020512 is 215020331.

133020512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133020512² = 35388913225484288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 7 ways as a sum of consecutive naturals, for example, 238538 + ... + 239094.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^133020512 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 133020512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209840).

133020512 is an abundant number, since it is smaller than the sum of its proper divisors (145399168).

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

133020512 is a wasteful number, since it uses less digits than its factorization.

133020512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 133020512 is about 11533.4518683697. The cubic root of 133020512 is about 510.4731121701.

Adding to 133020512 its reverse (215020331), we get a palindrome (348040843).

The spelling of 133020512 in words is "one hundred thirty-three million, twenty thousand, five hundred twelve".