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135674688 = 26317197211
BaseRepresentation
bin10000001011000…
…11101101000000
3100110021222200110
420011203231000
5234213042223
621243551320
73235134012
oct1005435500
9313258613
10135674688
116a648446
123952b540
13221546a6
141403a1b2
15bd9ed93
hex8163b40

135674688 has 112 divisors (see below), whose sum is σ = 383828544. Its totient is φ = 42147840.

The previous prime is 135674657. The next prime is 135674711. The reversal of 135674688 is 886476531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642903 + ... + 643113.

Almost surely, 2135674688 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 135674688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191914272).

135674688 is an abundant number, since it is smaller than the sum of its proper divisors (248153856).

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

135674688 is a wasteful number, since it uses less digits than its factorization.

135674688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 135674688 is about 11647.9478020808. The cubic root of 135674688 is about 513.8459570586.

The spelling of 135674688 in words is "one hundred thirty-five million, six hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 197 204 211 272 394 408 422 544 591 633 788 816 844 1088 1182 1266 1576 1632 1688 2364 2532 3152 3264 3349 3376 3587 4728 5064 6304 6698 6752 7174 9456 10047 10128 10761 12608 13396 13504 14348 18912 20094 20256 21522 26792 28696 37824 40188 40512 41567 43044 53584 57392 80376 83134 86088 107168 114784 124701 160752 166268 172176 214336 229568 249402 321504 332536 344352 498804 643008 665072 688704 706639 997608 1330144 1413278 1995216 2119917 2660288 2826556 3990432 4239834 5653112 7980864 8479668 11306224 16959336 22612448 33918672 45224896 67837344 135674688