132738 has 8 divisors (see below), whose sum is σ = 265488. Its totient is φ = 44244.

The previous prime is 132721. The next prime is 132739. The reversal of 132738 is 837231.

It is a sphenic number, since it is the product of 3 distinct primes.

132738 is an admirable number.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 7³ + 2¹⁷ + 3⁶ + 8³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132738.

It is not an unprimeable number, because it can be changed into a prime (132739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11056 + ... + 11067.

It is an arithmetic number, because the mean of its divisors is an integer number (33186).

2¹³²⁷³⁸ is an apocalyptic number.

132738 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

132738 is a wasteful number, since it uses less digits than its factorization.

132738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22128.

The product of its digits is 1008, while the sum is 24.

The square root of 132738 is about 364.3322659332. The cubic root of 132738 is about 51.0111471212.

Adding to 132738 its reverse (837231), we get a palindrome (969969).

The spelling of 132738 in words is "one hundred thirty-two thousand, seven hundred thirty-eight".