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135468465 = 35112513271
BaseRepresentation
bin10000001001100…
…01010110110001
3100102220111210120
420010301112301
5234134442330
621235320453
73233314536
oct1004612661
9312814716
10135468465
116a517510
1239450129
13220b1872
1413dc4d8d
15bd5dc10
hex81315b1

135468465 has 32 divisors (see below), whose sum is σ = 237468672. Its totient is φ = 65400000.

The previous prime is 135468409. The next prime is 135468479. The reversal of 135468465 is 564864531.

It is not a de Polignac number, because 135468465 - 27 = 135468337 is a prime.

It is a super-3 number, since 3×1354684653 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39780 + ... + 43050.

It is an arithmetic number, because the mean of its divisors is an integer number (7420896).

Almost surely, 2135468465 is an apocalyptic number.

135468465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135468465 is a deficient number, since it is larger than the sum of its proper divisors (102000207).

135468465 is a wasteful number, since it uses less digits than its factorization.

135468465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541.

The product of its digits is 345600, while the sum is 42.

The square root of 135468465 is about 11639.0921037682. The cubic root of 135468465 is about 513.5854796108.

The spelling of 135468465 in words is "one hundred thirty-five million, four hundred sixty-eight thousand, four hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 251 753 1255 2761 3271 3765 8283 9813 13805 16355 35981 41415 49065 107943 179905 539715 821021 2463063 4105105 9031231 12315315 27093693 45156155 135468465