132867306 has 96 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 36230400.

The previous prime is 132867289. The next prime is 132867307. The reversal of 132867306 is 603768231.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (132867307) 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 47 ways as a sum of consecutive naturals, for example, 104905 + ... + 106163.

It is an arithmetic number, because the mean of its divisors is an integer number (3611790).

Almost surely, 2^132867306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132867306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

132867306 is an abundant number, since it is smaller than the sum of its proper divisors (213864534).

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

132867306 is a wasteful number, since it uses less digits than its factorization.

132867306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 132867306 is about 11526.8081444952. The cubic root of 132867306 is about 510.2770582263.

The spelling of 132867306 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand, three hundred six".