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135702267138 = 23329629913757
BaseRepresentation
bin111111001100001111…
…1000100010100000010
3110222021022202102121000
41332120133010110002
54210404240022023
6142201334312430
712542554144614
oct1763037042402
9428238672530
10135702267138
11526074348a9
12223724b8716
13ca483876b9
1467d4934db4
1537e3789243
hex1f987c4502

135702267138 has 64 divisors (see below), whose sum is σ = 312031440000. Its totient is φ = 43664185152.

The previous prime is 135702267121. The next prime is 135702267187. The reversal of 135702267138 is 831762207531.

135702267138 is a `hidden beast` number, since 1 + 3 + 570 + 2 + 2 + 6 + 71 + 3 + 8 = 666.

It is a super-2 number, since 2×1357022671382 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135702267093 and 135702267102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9857356 + ... + 9871112.

It is an arithmetic number, because the mean of its divisors is an integer number (4875491250).

Almost surely, 2135702267138 is an apocalyptic number.

135702267138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

135702267138 is an abundant number, since it is smaller than the sum of its proper divisors (176329172862).

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

135702267138 is a wasteful number, since it uses less digits than its factorization.

135702267138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20096 (or 20090 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 135702267138 in words is "one hundred thirty-five billion, seven hundred two million, two hundred sixty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 6299 12598 13757 18897 27514 37794 41271 56691 82542 113382 123813 170073 182671 247626 340146 365342 371439 398953 548013 742878 797906 1096026 1196859 1644039 2393718 3288078 3590577 4932117 7181154 9864234 10771731 21543462 86655343 173310686 259966029 519932058 779898087 1559796174 2339694261 2513004947 4679388522 5026009894 7539014841 15078029682 22617044523 45234089046 67851133569 135702267138