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136191216 = 243717113211
BaseRepresentation
bin10000001111000…
…01110011110000
3100111021020020010
420013201303300
5234331104331
621303014520
73242414640
oct1007416360
9314236203
10136191216
116a970527
123973a440
13222a5825
1414132520
15be52e46
hex81e1cf0

136191216 has 160 divisors (see below), whose sum is σ = 431543808. Its totient is φ = 36126720.

The previous prime is 136191193. The next prime is 136191281. The reversal of 136191216 is 612191631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645351 + ... + 645561.

Almost surely, 2136191216 is an apocalyptic number.

136191216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136191216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215771904).

136191216 is an abundant number, since it is smaller than the sum of its proper divisors (295352592).

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

136191216 is a wasteful number, since it uses less digits than its factorization.

136191216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 136191216 is about 11670.0992283699. The cubic root of 136191216 is about 514.4972200586.

The spelling of 136191216 in words is "one hundred thirty-six million, one hundred ninety-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 113 119 136 168 204 211 226 238 272 336 339 357 408 422 452 476 633 678 714 791 816 844 904 952 1266 1356 1428 1477 1582 1688 1808 1904 1921 2373 2532 2712 2856 2954 3164 3376 3587 3842 4431 4746 5064 5424 5712 5763 5908 6328 7174 7684 8862 9492 10128 10761 11526 11816 12656 13447 14348 15368 17724 18984 21522 23052 23632 23843 25109 26894 28696 30736 35448 37968 40341 43044 46104 47686 50218 53788 57392 70896 71529 75327 80682 86088 92208 95372 100436 107576 143058 150654 161364 166901 172176 190744 200872 215152 286116 301308 322728 333802 381488 401744 405331 500703 572232 602616 645456 667604 810662 1001406 1144464 1205232 1215993 1335208 1621324 2002812 2431986 2670416 2837317 3242648 4005624 4863972 5674634 6485296 8011248 8511951 9727944 11349268 17023902 19455888 22698536 34047804 45397072 68095608 136191216