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135065466 = 232371391459
BaseRepresentation
bin10000000110011…
…10111101111010
3100102011000222200
420003032331322
5234034043331
621222531030
73230015604
oct1003167572
9312130880
10135065466
116a271758
1239296a76
1321ca02c3
1413d1c174
15bcce5e6
hex80cef7a

135065466 has 48 divisors (see below), whose sum is σ = 302920800. Its totient is φ = 43460064.

The previous prime is 135065461. The next prime is 135065467. The reversal of 135065466 is 664560531.

135065466 is a `hidden beast` number, since 135 + 0 + 65 + 466 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135065466.

It is not an unprimeable number, because it can be changed into a prime (135065461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91845 + ... + 93303.

It is an arithmetic number, because the mean of its divisors is an integer number (6310850).

Almost surely, 2135065466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135065466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151460400).

135065466 is an abundant number, since it is smaller than the sum of its proper divisors (167855334).

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

135065466 is a wasteful number, since it uses less digits than its factorization.

135065466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 135065466 is about 11621.7669052515. The cubic root of 135065466 is about 513.0756930362.

It can be divided in two parts, 135065 and 466, that added together give a palindrome (135531).

The spelling of 135065466 in words is "one hundred thirty-five million, sixty-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 37 74 111 139 222 278 333 417 666 834 1251 1459 2502 2918 4377 5143 8754 10286 13131 15429 26262 30858 46287 53983 92574 107966 161949 202801 323898 405602 485847 608403 971694 1216806 1825209 3650418 7503637 15007274 22510911 45021822 67532733 135065466