132496 has 45 divisors (see below), whose sum is σ = 323361. Its totient is φ = 52416.

The previous prime is 132491. The next prime is 132499. The reversal of 132496 is 694231.

132496 = T₄₉ + T₅₀ + ... + T₉₆.

The square root of 132496 is 364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19600 + 112896 = 140^2 + 336^2 .

It is a Duffinian number.

Its product of digits (1296) is a multiple of the sum of its prime factors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 132496.

It is not an unprimeable number, because it can be changed into a prime (132491) 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 8 ways as a sum of consecutive naturals, for example, 10186 + ... + 10198.

132496 is a Friedman number, since it can be written as (369-4-1)^2, using all its digits and the basic arithmetic operations.

2¹³²⁴⁹⁶ is an apocalyptic number.

132496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

132496 is the 364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132496

132496 is an abundant number, since it is smaller than the sum of its proper divisors (190865).

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

132496 is a wasteful number, since it uses less digits than its factorization.

132496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 22 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The cubic root of 132496 is about 50.9801281032.

Multiplying 132496 by its sum of digits (25), we get a square (3312400 = 1820²).

Multiplying 132496 by its product of digits (1296), we get a square (171714816 = 13104²).

The spelling of 132496 in words is "one hundred thirty-two thousand, four hundred ninety-six".