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136284900 = 223522112153
BaseRepresentation
bin10000001111110…
…00101011100100
3100111102222201220
420013320223210
5234342104100
621305020340
73243255033
oct1007705344
9314388656
10136284900
116aa24954
12397846b0
132230936b
141415871a
15be70aa0
hex81f8ae4

136284900 has 72 divisors (see below), whose sum is σ = 396370464. Its totient is φ = 36153600.

The previous prime is 136284887. The next prime is 136284961. The reversal of 136284900 is 9482631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62224 + ... + 64376.

Almost surely, 2136284900 is an apocalyptic number.

136284900 is a gapful number since it is divisible by the number (10) 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 136284900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198185232).

136284900 is an abundant number, since it is smaller than the sum of its proper divisors (260085564).

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

136284900 is a wasteful number, since it uses less digits than its factorization.

136284900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 136284900 is about 11674.1123859589. The cubic root of 136284900 is about 514.6151647914.

It can be divided in two parts, 13628 and 4900, that added together give a triangular number (18528 = T192).

The spelling of 136284900 in words is "one hundred thirty-six million, two hundred eighty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 844 1055 1266 2110 2153 2532 3165 4220 4306 5275 6330 6459 8612 10550 10765 12660 12918 15825 21100 21530 25836 31650 32295 43060 53825 63300 64590 107650 129180 161475 215300 322950 454283 645900 908566 1362849 1817132 2271415 2725698 4542830 5451396 6814245 9085660 11357075 13628490 22714150 27256980 34071225 45428300 68142450 136284900