132762 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 36288.

The previous prime is 132761. The next prime is 132763. The reversal of 132762 is 267231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132761) and next prime (132763).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132761) 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, 1164 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2¹³²⁷⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

132762 is an abundant number, since it is smaller than the sum of its proper divisors (184038).

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

132762 is a wasteful number, since it uses less digits than its factorization.

132762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150.

The product of its digits is 504, while the sum is 21.

The square root of 132762 is about 364.3652014120. The cubic root of 132762 is about 51.0142213320.

Adding to 132762 its reverse (267231), we get a palindrome (399993).

It can be divided in two parts, 13 and 2762, that added together give a triangular number (2775 = T₇₄).

The spelling of 132762 in words is "one hundred thirty-two thousand, seven hundred sixty-two".