133084512 has 288 divisors, whose sum is σ = 455817600. Its totient is φ = 37635840.

The previous prime is 133084499. The next prime is 133084513. The reversal of 133084512 is 215480331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×133084512² = 35422974668556288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133084513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1986303 + ... + 1986369.

It is an arithmetic number, because the mean of its divisors is an integer number (1582700).

Almost surely, 2^133084512 is an apocalyptic number.

133084512 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 133084512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

133084512 is an abundant number, since it is smaller than the sum of its proper divisors (322733088).

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

133084512 is a wasteful number, since it uses less digits than its factorization.

133084512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 133084512 is about 11536.2260726808. The cubic root of 133084512 is about 510.5549668168.

The spelling of 133084512 in words is "one hundred thirty-three million, eighty-four thousand, five hundred twelve".