132867968 has 32 divisors (see below), whose sum is σ = 268665960. Its totient is φ = 65438208.

The previous prime is 132867961. The next prime is 132867991. The reversal of 132867968 is 869768231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×132867968³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132867961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 830 + ... + 16322.

Almost surely, 2^132867968 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 132867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134332980).

132867968 is an abundant number, since it is smaller than the sum of its proper divisors (135797992).

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

132867968 is an equidigital number, since it uses as much as digits as its factorization.

132867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15574 (or 15562 counting only the distinct ones).

The product of its digits is 870912, while the sum is 50.

The square root of 132867968 is about 11526.8368601278. The cubic root of 132867968 is about 510.2779056955.

It can be divided in two parts, 1328 and 67968, that added together give a palindrome (69296).

The spelling of 132867968 in words is "one hundred thirty-two million, eight hundred sixty-seven thousand, nine hundred sixty-eight".