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135242136 = 233573953
BaseRepresentation
bin10000000111110…
…10000110011000
3100102111000100000
420003322012120
5234110222021
621230413000
73231352641
oct1003720630
9312430300
10135242136
116a382467
1239361160
1322032843
1413d666c8
15bd16b26
hex80fa198

135242136 has 96 divisors (see below), whose sum is σ = 385454160. Its totient is φ = 44416512.

The previous prime is 135242117. The next prime is 135242137. The reversal of 135242136 is 631242531.

135242136 is a `hidden beast` number, since 1 + 3 + 524 + 2 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135242137) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 141436 + ... + 142388.

Almost surely, 2135242136 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 135242136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192727080).

135242136 is an abundant number, since it is smaller than the sum of its proper divisors (250212024).

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

135242136 is an equidigital number, since it uses as much as digits as its factorization.

135242136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 135242136 is about 11629.3652449306. The cubic root of 135242136 is about 513.2993021048.

Adding to 135242136 its reverse (631242531), we get a palindrome (766484667).

The spelling of 135242136 in words is "one hundred thirty-five million, two hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 324 438 486 584 648 657 876 953 972 1314 1752 1906 1944 1971 2628 2859 3812 3942 5256 5718 5913 7624 7884 8577 11436 11826 15768 17154 17739 22872 23652 25731 34308 35478 47304 51462 68616 69569 70956 77193 102924 139138 141912 154386 205848 208707 231579 278276 308772 417414 463158 556552 617544 626121 834828 926316 1252242 1669656 1852632 1878363 2504484 3756726 5008968 5635089 7513452 11270178 15026904 16905267 22540356 33810534 45080712 67621068 135242136