132354 has 40 divisors (see below), whose sum is σ = 319440. Its totient is φ = 40824.

The previous prime is 132347. The next prime is 132361. The reversal of 132354 is 453231.

132354 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (132347) and next prime (132361).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3² + 3⁵ + 2¹⁷ + 5 + 4⁵ .

It is an unprimeable number.

132354 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3057 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (7986).

2¹³²³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159720).

132354 is an abundant number, since it is smaller than the sum of its proper divisors (187086).

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

132354 is a wasteful number, since it uses less digits than its factorization.

132354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 67 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 132354 is about 363.8048927653. The cubic root of 132354 is about 50.9619092743.

Adding to 132354 its reverse (453231), we get a palindrome (585585).

The spelling of 132354 in words is "one hundred thirty-two thousand, three hundred fifty-four".