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132537 = 344179
BaseRepresentation
bin100000010110111001
320201210210
4200112321
513220122
62501333
71061256
oct402671
9221723
10132537
1190639
1264849
1348432
143642d
152940c
hex205b9

132537 has 4 divisors (see below), whose sum is σ = 176720. Its totient is φ = 88356.

The previous prime is 132533. The next prime is 132541. The reversal of 132537 is 735231.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (132533) and next prime (132541).

It is not a de Polignac number, because 132537 - 22 = 132533 is a prime.

It is a d-powerful number, because it can be written as 1 + 32 + 53 + 213 + 38 + 76 .

It is a D-number.

It is a Duffinian number.

132537 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 132537.

It is not an unprimeable number, because it can be changed into a prime (132533) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22087 + ... + 22092.

It is an arithmetic number, because the mean of its divisors is an integer number (44180).

2132537 is an apocalyptic number.

It is an amenable number.

132537 is a deficient number, since it is larger than the sum of its proper divisors (44183).

132537 is an equidigital number, since it uses as much as digits as its factorization.

132537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44182.

The product of its digits is 630, while the sum is 21.

The square root of 132537 is about 364.0563143251. The cubic root of 132537 is about 50.9853860473.

Adding to 132537 its reverse (735231), we get a palindrome (867768).

The spelling of 132537 in words is "one hundred thirty-two thousand, five hundred thirty-seven".

Divisors: 1 3 44179 132537