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135465353625 = 3537891015741
BaseRepresentation
bin111111000101001011…
…1010100000110011001
3110221122210221222100110
41332022113110012121
54204413112304000
6142122032354533
712533646335640
oct1761227240631
9427583858313
10135465353625
11524a572a208
12223070a5a49
13ca0b2776a4
1467b12a4357
1537cca8c850
hex1f8a5d4199

135465353625 has 128 divisors (see below), whose sum is σ = 263136107520. Its totient is φ = 60614400000.

The previous prime is 135465353593. The next prime is 135465353669. The reversal of 135465353625 is 526353564531.

It is not a de Polignac number, because 135465353625 - 25 = 135465353593 is a prime.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 23593255 + ... + 23598995.

It is an arithmetic number, because the mean of its divisors is an integer number (2055750840).

Almost surely, 2135465353625 is an apocalyptic number.

135465353625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135465353625 is a deficient number, since it is larger than the sum of its proper divisors (127670753895).

135465353625 is a wasteful number, since it uses less digits than its factorization.

135465353625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956 (or 5946 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 135465353625 in words is "one hundred thirty-five billion, four hundred sixty-five million, three hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 89 101 105 125 175 267 303 375 445 505 525 623 707 875 1335 1515 1869 2121 2225 2525 2625 3115 3535 5741 6675 7575 8989 9345 10605 11125 12625 15575 17223 17675 26967 28705 33375 37875 40187 44945 46725 53025 62923 77875 86115 88375 120561 134835 143525 188769 200935 224725 233625 265125 314615 430575 510949 579841 602805 674175 717625 943845 1004675 1123625 1532847 1573075 1739523 2152875 2554745 2899205 3014025 3370875 3576643 4058887 4719225 5023375 7664235 7865375 8697615 10729929 12176661 12773725 14496025 15070125 17883215 20294435 23596125 38321175 43488075 51605849 53649645 60883305 63868625 72480125 89416075 101472175 154817547 191605875 217440375 258029245 268248225 304416525 361240943 447080375 507360875 774087735 1083722829 1290146225 1341241125 1522082625 1806204715 3870438675 5418614145 6450731125 9031023575 19352193375 27093070725 45155117875 135465353625