133082352 has 120 divisors (see below), whose sum is σ = 416108784. Its totient is φ = 40932864.

The previous prime is 133082321. The next prime is 133082357. The reversal of 133082352 is 253280331.

133082352 is a `hidden beast` number, since 1 + 3 + 308 + 2 + 352 = 666.

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 (133082357) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49228 + ... + 51860.

Almost surely, 2^133082352 is an apocalyptic number.

133082352 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 133082352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208054392).

133082352 is an abundant number, since it is smaller than the sum of its proper divisors (283026432).

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

133082352 is a wasteful number, since it uses less digits than its factorization.

133082352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133082352 is about 11536.1324541633. The cubic root of 133082352 is about 510.5522046505.

It can be divided in two parts, 133082 and 352, that multiplied together give a palindrome (46844864).

The spelling of 133082352 in words is "one hundred thirty-three million, eighty-two thousand, three hundred fifty-two".