132633764 has 24 divisors (see below), whose sum is σ = 236760888. Its totient is φ = 64995840.

The previous prime is 132633689. The next prime is 132633769. The reversal of 132633764 is 467336231.

132633764 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 153664 + 132480100 = 392^2 + 11510^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

132633764 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (132633769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81422 + ... + 83034.

It is an arithmetic number, because the mean of its divisors is an integer number (9865037).

Almost surely, 2^132633764 is an apocalyptic number.

It is an amenable number.

132633764 is a deficient number, since it is larger than the sum of its proper divisors (104127124).

132633764 is a wasteful number, since it uses less digits than its factorization.

132633764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2013 counting only the distinct ones).

The product of its digits is 54432, while the sum is 35.

The square root of 132633764 is about 11516.6733043879. The cubic root of 132633764 is about 509.9779101031.

Adding to 132633764 its reverse (467336231), we get a palindrome (599969995).

The spelling of 132633764 in words is "one hundred thirty-two million, six hundred thirty-three thousand, seven hundred sixty-four".