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132165133727 = 11174119389317
BaseRepresentation
bin111101100010110100…
…1111110010110011111
3110122010211000102201212
41323011221332112133
54131133233234402
6140414341255035
712356114046404
oct1730551762637
9418124012655
10132165133727
1151061855150
1221745a0447b
13c603619253
14657ac6c2ab
153687e94952
hex1ec5a7e59f

132165133727 has 32 divisors (see below), whose sum is σ = 157196821824. Its totient is φ = 109751500800.

The previous prime is 132165133721. The next prime is 132165133769. The reversal of 132165133727 is 727331561231.

It is a cyclic number.

It is not a de Polignac number, because 132165133727 - 234 = 114985264543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132165133721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1435073 + ... + 1524389.

It is an arithmetic number, because the mean of its divisors is an integer number (4912400682).

Almost surely, 2132165133727 is an apocalyptic number.

132165133727 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

132165133727 is a deficient number, since it is larger than the sum of its proper divisors (25031688097).

132165133727 is a wasteful number, since it uses less digits than its factorization.

132165133727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89579.

The product of its digits is 158760, while the sum is 41.

Adding to 132165133727 its reverse (727331561231), we get a palindrome (859496694958).

The spelling of 132165133727 in words is "one hundred thirty-two billion, one hundred sixty-five million, one hundred thirty-three thousand, seven hundred twenty-seven".

Divisors: 1 11 17 41 187 193 451 697 2123 3281 7667 7913 36091 87043 89317 134521 982487 1479731 1518389 3661997 16702279 17238181 40281967 62253949 189619991 293049077 684793439 706765421 3223539847 7774419631 12015012157 132165133727