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133145325 = 3252591757
BaseRepresentation
bin1111110111110…
…10001011101101
3100021112111001100
413323322023231
5233041122300
621113433313
73204500535
oct773721355
9307474040
10133145325
1169180065
123870b839
132177a321
141397c4c5
15ba50700
hex7efa2ed

133145325 has 18 divisors (see below), whose sum is σ = 238478474. Its totient is φ = 71010720.

The previous prime is 133145323. The next prime is 133145347. The reversal of 133145325 is 523541331.

133145325 is a `hidden beast` number, since 1 + 331 + 4 + 5 + 325 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19881 + 133125444 = 141^2 + 11538^2 .

It is not a de Polignac number, because 133145325 - 21 = 133145323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133145323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295654 + ... + 296103.

Almost surely, 2133145325 is an apocalyptic number.

133145325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133145325 is a deficient number, since it is larger than the sum of its proper divisors (105333149).

133145325 is a wasteful number, since it uses less digits than its factorization.

133145325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591773 (or 591765 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 133145325 is about 11538.8615122983. The cubic root of 133145325 is about 510.6327210467.

Adding to 133145325 its reverse (523541331), we get a palindrome (656686656).

It can be divided in two parts, 1331 and 45325, that added together give a 6-th power (46656 = 66).

The spelling of 133145325 in words is "one hundred thirty-three million, one hundred forty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 591757 1775271 2958785 5325813 8876355 14793925 26629065 44381775 133145325