133205512 has 96 divisors (see below), whose sum is σ = 297239040. Its totient is φ = 55756800.

The previous prime is 133205503. The next prime is 133205531. The reversal of 133205512 is 215502331.

It is a super-3 number, since 3×133205512³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 690088 + ... + 690280.

It is an arithmetic number, because the mean of its divisors is an integer number (3096240).

Almost surely, 2^133205512 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 133205512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148619520).

133205512 is an abundant number, since it is smaller than the sum of its proper divisors (164033528).

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

133205512 is a wasteful number, since it uses less digits than its factorization.

133205512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 133205512 is about 11541.4692305616. The cubic root of 133205512 is about 510.7096515781.

Adding to 133205512 its reverse (215502331), we get a palindrome (348707843).

The spelling of 133205512 in words is "one hundred thirty-three million, two hundred five thousand, five hundred twelve".