133064352 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 42316800.

The previous prime is 133064341. The next prime is 133064357. The reversal of 133064352 is 253460331.

It is a happy number.

133064352 is a `hidden beast` number, since 1 + 3 + 306 + 4 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×133064352² = 35412243546359808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133064357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696577 + ... + 696767.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^133064352 is an apocalyptic number.

133064352 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 133064352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

133064352 is an abundant number, since it is smaller than the sum of its proper divisors (263200608).

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

133064352 is a wasteful number, since it uses less digits than its factorization.

133064352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 133064352 is about 11535.3522703037. The cubic root of 133064352 is about 510.5291854349.

The spelling of 133064352 in words is "one hundred thirty-three million, sixty-four thousand, three hundred fifty-two".