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132840225 = 32527212049
BaseRepresentation
bin1111110101011…
…11101100100001
3100020221222112100
413322233230201
5233001341400
621103121013
73202060200
oct772575441
9306858470
10132840225
1168a91911
12385a3169
13216a14ab
14138dd237
15b9e0100
hex7eafb21

132840225 has 54 divisors (see below), whose sum is σ = 276800550. Its totient is φ = 60721920.

The previous prime is 132840223. The next prime is 132840241. The reversal of 132840225 is 522048231.

It can be written as a sum of positive squares in 3 ways, for example, as 15421329 + 117418896 = 3927^2 + 10836^2 .

It is not a de Polignac number, because 132840225 - 21 = 132840223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132840223) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 5001 + ... + 17049.

Almost surely, 2132840225 is an apocalyptic number.

132840225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132840225 is an abundant number, since it is smaller than the sum of its proper divisors (143960325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132840225 is a wasteful number, since it uses less digits than its factorization.

132840225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12079 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132840225 is about 11525.6333882351. The cubic root of 132840225 is about 510.2423876657.

Adding to 132840225 its reverse (522048231), we get a palindrome (654888456).

The spelling of 132840225 in words is "one hundred thirty-two million, eight hundred forty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 12049 36147 60245 84343 108441 180735 253029 301225 421715 542205 590401 759087 903675 1265145 1771203 2108575 2711025 2952005 3795435 5313609 6325725 8856015 14760025 18977175 26568045 44280075 132840225