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132544 = 2619109
BaseRepresentation
bin100000010111000000
320201211001
4200113000
513220134
62501344
71061266
oct402700
9221731
10132544
1190645
1264854
1348439
1436436
1529414
hex205c0

132544 has 28 divisors (see below), whose sum is σ = 279400. Its totient is φ = 62208.

The previous prime is 132541. The next prime is 132547. The reversal of 132544 is 445231.

It is an interprime number because it is at equal distance from previous prime (132541) and next prime (132547).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132541) 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, 1162 + ... + 1270.

2132544 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 132544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700).

132544 is an abundant number, since it is smaller than the sum of its proper divisors (146856).

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

132544 is a wasteful number, since it uses less digits than its factorization.

132544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 132544 is about 364.0659280954. The cubic root of 132544 is about 50.9862836367.

Adding to 132544 its reverse (445231), we get a palindrome (577775).

It can be divided in two parts, 1325 and 44, that added together give a square (1369 = 372).

The spelling of 132544 in words is "one hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 109 152 218 304 436 608 872 1216 1744 2071 3488 4142 6976 8284 16568 33136 66272 132544