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132657 = 376317
BaseRepresentation
bin100000011000110001
320201222020
4200120301
513221112
62502053
71061520
oct403061
9221866
10132657
1190738
1264929
13484c5
14364b7
152948c
hex20631

132657 has 8 divisors (see below), whose sum is σ = 202176. Its totient is φ = 75792.

The previous prime is 132647. The next prime is 132661. The reversal of 132657 is 756231.

Adding to 132657 its reverse (756231), we get a palindrome (888888).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132657 - 27 = 132529 is a prime.

132657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (132607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3138 + ... + 3179.

It is an arithmetic number, because the mean of its divisors is an integer number (25272).

132657 is a Friedman number, since it can be written as 51^((7+2)/3)+6, using all its digits and the basic arithmetic operations.

2132657 is an apocalyptic number.

It is an amenable number.

132657 is a deficient number, since it is larger than the sum of its proper divisors (69519).

132657 is an equidigital number, since it uses as much as digits as its factorization.

132657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327.

The product of its digits is 1260, while the sum is 24.

The square root of 132657 is about 364.2210867042. The cubic root of 132657 is about 51.0007689234. Note that the first 3 decimals are identical.

The spelling of 132657 in words is "one hundred thirty-two thousand, six hundred fifty-seven".

Divisors: 1 3 7 21 6317 18951 44219 132657