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135466688 = 2672313147
BaseRepresentation
bin10000001001100…
…00111011000000
3100102220102100202
420010300323000
5234134413223
621235304332
73233306420
oct1004607300
9312812322
10135466688
116a516145
123944b0a8
13220b0b06
1413dc4480
15bd5d428
hex8130ec0

135466688 has 56 divisors (see below), whose sum is σ = 320600832. Its totient is φ = 55528704.

The previous prime is 135466687. The next prime is 135466703. The reversal of 135466688 is 886664531.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (135466687) 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, 3731 + ... + 16877.

Almost surely, 2135466688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160300416).

135466688 is an abundant number, since it is smaller than the sum of its proper divisors (185134144).

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

135466688 is a wasteful number, since it uses less digits than its factorization.

135466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13189 (or 13179 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 135466688 is about 11639.0157659486. The cubic root of 135466688 is about 513.5832339581.

The spelling of 135466688 in words is "one hundred thirty-five million, four hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 10304 13147 26294 52588 92029 105176 184058 210352 302381 368116 420704 604762 736232 841408 1209524 1472464 2116667 2419048 2944928 4233334 4838096 5889856 8466668 9676192 16933336 19352384 33866672 67733344 135466688