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132375 = 353353
BaseRepresentation
bin100000010100010111
320201120210
4200110113
513214000
62500503
71060635
oct402427
9221523
10132375
1190501
1264733
1348339
1436355
1529350
hex20517

132375 has 16 divisors (see below), whose sum is σ = 220896. Its totient is φ = 70400.

The previous prime is 132371. The next prime is 132383. The reversal of 132375 is 573231.

It is a happy number.

It is not a de Polignac number, because 132375 - 22 = 132371 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132371) 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 15 ways as a sum of consecutive naturals, for example, 199 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (13806).

2132375 is an apocalyptic number.

132375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132375 is a deficient number, since it is larger than the sum of its proper divisors (88521).

132375 is an equidigital number, since it uses as much as digits as its factorization.

132375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

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

The square root of 132375 is about 363.8337532445. The cubic root of 132375 is about 50.9646044289.

It can be divided in two parts, 1323 and 75, that multiplied together give a square (99225 = 3152).

The spelling of 132375 in words is "one hundred thirty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 15 25 75 125 353 375 1059 1765 5295 8825 26475 44125 132375