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132595225 = 5274472
BaseRepresentation
bin1111110011100…
…11111000011001
3100020111112110021
413321303320121
5232421021400
621053550441
73200020000
oct771637031
9306445407
10132595225
1168934834
12384a5421
1321616b19
1413877c37
15b99271a
hex7e73e19

132595225 has 45 divisors (see below), whose sum is σ = 195977567. Its totient is φ = 88987920.

The previous prime is 132595219. The next prime is 132595231. The reversal of 132595225 is 522595231.

The square root of 132595225 is 11515.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (132595219) and next prime (132595231).

It can be written as a sum of positive squares in only one way, i.e., 47734281 + 84860944 = 6909^2 + 9212^2 .

It is not a de Polignac number, because 132595225 - 25 = 132595193 is a prime.

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 2821152 + ... + 2821198.

Almost surely, 2132595225 is an apocalyptic number.

132595225 is the 11515-th square number.

132595225 is the 5758-th centered octagonal number.

It is an amenable number.

132595225 is a deficient number, since it is larger than the sum of its proper divisors (63382342).

132595225 is an frugal number, since it uses more digits than its factorization.

132595225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its digits is 27000, while the sum is 34.

The cubic root of 132595225 is about 509.9285110612.

The spelling of 132595225 in words is "one hundred thirty-two million, five hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 47 49 175 235 245 329 343 1175 1225 1645 1715 2209 2303 2401 8225 8575 11045 11515 12005 15463 16121 55225 57575 60025 77315 80605 108241 112847 386575 403025 541205 564235 757687 2706025 2821175 3788435 5303809 18942175 26519045 132595225