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135668176 = 2476911753
BaseRepresentation
bin10000001011000…
…10000111010000
3100110021122202021
420011202013100
5234212340201
621243501224
73235106020
oct1005420720
9313248667
10135668176
116a643566
1239527814
1322151737
1414037a80
15bd9cea1
hex81621d0

135668176 has 40 divisors (see below), whose sum is σ = 301014464. Its totient is φ = 58026240.

The previous prime is 135668173. The next prime is 135668213. The reversal of 135668176 is 671866531.

135668176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135668171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76516 + ... + 78268.

Almost surely, 2135668176 is an apocalyptic number.

135668176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135668176 is an abundant number, since it is smaller than the sum of its proper divisors (165346288).

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

135668176 is a wasteful number, since it uses less digits than its factorization.

135668176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2453 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 135668176 is about 11647.6682645068. The cubic root of 135668176 is about 513.8377358779.

The spelling of 135668176 in words is "one hundred thirty-five million, six hundred sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 691 1382 1753 2764 3506 4837 5528 7012 9674 11056 12271 14024 19348 24542 28048 38696 49084 77392 98168 196336 1211323 2422646 4845292 8479261 9690584 16958522 19381168 33917044 67834088 135668176