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132314325 = 3521113373
BaseRepresentation
bin1111110001011…
…11010011010101
3100012222021010120
413320233103111
5232333024300
621043542153
73164440023
oct770572325
9305867116
10132314325
1168762790
123838a959
1321549000
1413803713
15b9393a0
hex7e2f4d5

132314325 has 96 divisors (see below), whose sum is σ = 262066560. Its totient is φ = 58406400.

The previous prime is 132314317. The next prime is 132314359. The reversal of 132314325 is 523413231.

It is not a de Polignac number, because 132314325 - 23 = 132314317 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 132314295 and 132314304.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 1812489 + ... + 1812561.

It is an arithmetic number, because the mean of its divisors is an integer number (2729860).

Almost surely, 2132314325 is an apocalyptic number.

132314325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132314325 is a deficient number, since it is larger than the sum of its proper divisors (129752235).

132314325 is a wasteful number, since it uses less digits than its factorization.

132314325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 132314325 is about 11502.7963991370. The cubic root of 132314325 is about 509.5681657887.

Adding to 132314325 its reverse (523413231), we get a palindrome (655727556).

The spelling of 132314325 in words is "one hundred thirty-two million, three hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 73 75 143 165 169 195 219 275 325 365 429 507 715 803 825 845 949 975 1095 1825 1859 2145 2197 2409 2535 2847 3575 4015 4225 4745 5475 5577 6591 9295 10439 10725 10985 12045 12337 12675 14235 20075 23725 24167 27885 31317 32955 37011 46475 52195 54925 60225 61685 71175 72501 120835 135707 139425 156585 160381 164775 185055 260975 308425 362505 407121 481143 604175 678535 782925 801905 925275 1764191 1812525 2035605 2405715 3392675 4009525 5292573 8820955 10178025 12028575 26462865 44104775 132314325