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135668358 = 23872211
BaseRepresentation
bin10000001011000…
…10001010000110
3100110021200000000
420011202022012
5234212341413
621243502130
73235106400
oct1005421206
9313250000
10135668358
116a643711
1239527946
1322151847
1414037b70
15bd9d073
hex8162286

135668358 has 108 divisors (see below), whose sum is σ = 356755932. Its totient is φ = 38578680.

The previous prime is 135668333. The next prime is 135668363. The reversal of 135668358 is 853866531.

135668358 is a `hidden beast` number, since 1 + 3 + 566 + 83 + 5 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 642873 + ... + 643083.

Almost surely, 2135668358 is an apocalyptic number.

135668358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135668358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178377966).

135668358 is an abundant number, since it is smaller than the sum of its proper divisors (221087574).

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

135668358 is an frugal number, since it uses more digits than its factorization.

135668358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 135668358 is about 11647.6760772267. The cubic root of 135668358 is about 513.8379656503.

The spelling of 135668358 in words is "one hundred thirty-five million, six hundred sixty-eight thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 211 243 294 378 422 441 486 567 633 729 882 1134 1266 1323 1458 1477 1701 1899 2187 2646 2954 3402 3798 3969 4374 4431 5103 5697 6561 7938 8862 10206 10339 11394 11907 13122 13293 15309 17091 20678 23814 26586 30618 31017 34182 35721 39879 45927 51273 62034 71442 79758 91854 93051 102546 107163 119637 153819 186102 214326 239274 279153 307638 321489 358911 461457 558306 642978 717822 837459 922914 1076733 1384371 1674918 2153466 2512377 2768742 3230199 5024754 6460398 7537131 9690597 15074262 19381194 22611393 45222786 67834179 135668358