132601768 has 64 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 57142272.

The previous prime is 132601759. The next prime is 132601769. The reversal of 132601768 is 867106231.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (132601769) 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 15 ways as a sum of consecutive naturals, for example, 316263 + ... + 316681.

It is an arithmetic number, because the mean of its divisors is an integer number (4465125).

Almost surely, 2^132601768 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 132601768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142884000).

132601768 is an abundant number, since it is smaller than the sum of its proper divisors (153166232).

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

132601768 is a wasteful number, since it uses less digits than its factorization.

132601768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 132601768 is about 11515.2841041808. The cubic root of 132601768 is about 509.9368985110.

Adding to 132601768 its reverse (867106231), we get a palindrome (999707999).

The spelling of 132601768 in words is "one hundred thirty-two million, six hundred one thousand, seven hundred sixty-eight".