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132525 = 32521931
BaseRepresentation
bin100000010110101101
320201210100
4200112231
513220100
62501313
71061241
oct402655
9221710
10132525
1190628
1264839
1348423
1436421
1529400
hex205ad

132525 has 36 divisors (see below), whose sum is σ = 257920. Its totient is φ = 64800.

The previous prime is 132523. The next prime is 132527. The reversal of 132525 is 525231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132523) and next prime (132527).

It is not a de Polignac number, because 132525 - 21 = 132523 is a prime.

132525 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 132498 and 132507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132525.

It is not an unprimeable number, because it can be changed into a prime (132523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4260 + ... + 4290.

2132525 is an apocalyptic number.

132525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132525 is a deficient number, since it is larger than the sum of its proper divisors (125395).

132525 is a wasteful number, since it uses less digits than its factorization.

132525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 132525 is about 364.0398329853. The cubic root of 132525 is about 50.9838472491.

Adding to 132525 its reverse (525231), we get a palindrome (657756).

The spelling of 132525 in words is "one hundred thirty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 31 45 57 75 93 95 155 171 225 279 285 465 475 589 775 855 1395 1425 1767 2325 2945 4275 5301 6975 8835 14725 26505 44175 132525