132468 has 48 divisors (see below), whose sum is σ = 376320. Its totient is φ = 35424.

The previous prime is 132439. The next prime is 132469. The reversal of 132468 is 864231.

It is a happy number.

It is a d-powerful number, because it can be written as 1 + 3³ + 4³ + 2¹⁷ + 6⁴ + 8 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132468.

It is not an unprimeable number, because it can be changed into a prime (132469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (7840).

2¹³²⁴⁶⁸ 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 132468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

132468 is an abundant number, since it is smaller than the sum of its proper divisors (243852).

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

132468 is a wasteful number, since it uses less digits than its factorization.

132468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 132468 is about 363.9615364293. The cubic root of 132468 is about 50.9765366887.

Adding to 132468 its reverse (864231), we get a palindrome (996699).

It can be divided in two parts, 132 and 468, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 132468 in words is "one hundred thirty-two thousand, four hundred sixty-eight".