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135136188 = 2236112383
BaseRepresentation
bin10000000111000…
…00001110111100
3100102021122000000
420003200032330
5234043324223
621224234300
73230432025
oct1003401674
9312248000
10135136188
116a30a900
123930b990
1321cc6555
1413d39c4c
15bce5543
hex80e03bc

135136188 has 126 divisors (see below), whose sum is σ = 390751872. Its totient is φ = 40843440.

The previous prime is 135136163. The next prime is 135136219. The reversal of 135136188 is 881631531.

135136188 is a `hidden beast` number, since 1 + 3 + 513 + 61 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 352645 + ... + 353027.

Almost surely, 2135136188 is an apocalyptic number.

135136188 is a gapful number since it is divisible by the number (18) 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 135136188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195375936).

135136188 is an abundant number, since it is smaller than the sum of its proper divisors (255615684).

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

135136188 is a wasteful number, since it uses less digits than its factorization.

135136188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 399 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 135136188 is about 11624.8091597239. The cubic root of 135136188 is about 513.1652284022.

It can be divided in two parts, 13513 and 6188, that added together give a triangular number (19701 = T198).

The spelling of 135136188 in words is "one hundred thirty-five million, one hundred thirty-six thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 383 396 484 486 594 726 729 766 891 972 1089 1149 1188 1452 1458 1532 1782 2178 2298 2673 2916 3267 3447 3564 4213 4356 4596 5346 6534 6894 8019 8426 9801 10341 10692 12639 13068 13788 16038 16852 19602 20682 25278 29403 31023 32076 37917 39204 41364 46343 50556 58806 62046 75834 88209 92686 93069 113751 117612 124092 139029 151668 176418 185372 186138 227502 278058 279207 341253 352836 372276 417087 455004 556116 558414 682506 834174 1023759 1116828 1251261 1365012 1668348 2047518 2502522 3071277 3753783 4095036 5005044 6142554 7507566 11261349 12285108 15015132 22522698 33784047 45045396 67568094 135136188