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132885 = 3252953
BaseRepresentation
bin100000011100010101
320202021200
4200130111
513223020
62503113
71062264
oct403425
9222250
10132885
1190925
1264a99
134863c
14365db
1529590
hex20715

132885 has 12 divisors (see below), whose sum is σ = 230412. Its totient is φ = 70848.

The previous prime is 132863. The next prime is 132887. The reversal of 132885 is 588231.

132885 = T158 + T159 + ... + T167.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 79524 + 53361 = 282^2 + 231^2 .

It is not a de Polignac number, because 132885 - 27 = 132757 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1432 + ... + 1521.

It is an arithmetic number, because the mean of its divisors is an integer number (19201).

2132885 is an apocalyptic number.

132885 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132885 is a deficient number, since it is larger than the sum of its proper divisors (97527).

132885 is a wasteful number, since it uses less digits than its factorization.

132885 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2961 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132885 is about 364.5339490363. The cubic root of 132885 is about 51.0299708497.

The spelling of 132885 in words is "one hundred thirty-two thousand, eight hundred eighty-five".

Divisors: 1 3 5 9 15 45 2953 8859 14765 26577 44295 132885