132350768 has 60 divisors (see below), whose sum is σ = 284487000. Its totient is φ = 59600640.

The previous prime is 132350767. The next prime is 132350783. The reversal of 132350768 is 867053231.

It is a super-3 number, since 3×132350768³ (a number of 25 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (132350767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264983 + ... + 265481.

It is an arithmetic number, because the mean of its divisors is an integer number (4741450).

Almost surely, 2^132350768 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 132350768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142243500).

132350768 is an abundant number, since it is smaller than the sum of its proper divisors (152136232).

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

132350768 is a wasteful number, since it uses less digits than its factorization.

132350768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 132350768 is about 11504.3803831410. The cubic root of 132350768 is about 509.6149445181.

The spelling of 132350768 in words is "one hundred thirty-two million, three hundred fifty thousand, seven hundred sixty-eight".