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132505225 = 52171392243
BaseRepresentation
bin1111110010111…
…01111010001001
3100020022221222221
413321131322021
5232410131400
621052014041
73166163416
oct771357211
9306287887
10132505225
1168883156
1238461321
13215b4b78
141385310d
15b975c1a
hex7e5de89

132505225 has 24 divisors (see below), whose sum is σ = 175301280. Its totient is φ = 99006720.

The previous prime is 132505207. The next prime is 132505249. The reversal of 132505225 is 522505231.

It is a happy number.

It is not a de Polignac number, because 132505225 - 25 = 132505193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 132505225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57954 + ... + 60196.

It is an arithmetic number, because the mean of its divisors is an integer number (7304220).

Almost surely, 2132505225 is an apocalyptic number.

It is an amenable number.

132505225 is a deficient number, since it is larger than the sum of its proper divisors (42796055).

132505225 is a wasteful number, since it uses less digits than its factorization.

132505225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 132505225 is about 11511.0913904807. The cubic root of 132505225 is about 509.8131123520.

The spelling of 132505225 in words is "one hundred thirty-two million, five hundred five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 139 425 695 2243 2363 3475 11215 11815 38131 56075 59075 190655 311777 953275 1558885 5300209 7794425 26501045 132505225