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135164330136 = 233211421405373
BaseRepresentation
bin111110111100001101…
…1000000000010011000
3110220212211112101202100
41331320123000002120
54203304032031021
6142032120403400
712523332564303
oct1757033000230
9426784471670
10135164330136
1152360816870
1222242316560
13c990aaba94
146783305b3a
1537b142a626
hex1f786c0098

135164330136 has 96 divisors (see below), whose sum is σ = 400298717520. Its totient is φ = 40861497600.

The previous prime is 135164330113. The next prime is 135164330143. The reversal of 135164330136 is 631033461531.

135164330136 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 643 + 3 + 0 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×1351643301362 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135164330136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130746 + ... + 536118.

Almost surely, 2135164330136 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 135164330136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200149358760).

135164330136 is an abundant number, since it is smaller than the sum of its proper divisors (265134387384).

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

135164330136 is a wasteful number, since it uses less digits than its factorization.

135164330136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405817 (or 405810 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 135164330136 its reverse (631033461531), we get a palindrome (766197791667).

The spelling of 135164330136 in words is "one hundred thirty-five billion, one hundred sixty-four million, three hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 421 792 842 1263 1684 2526 3368 3789 4631 5052 7578 9262 10104 13893 15156 18524 27786 30312 37048 41679 55572 83358 111144 166716 333432 405373 810746 1216119 1621492 2432238 3242984 3648357 4459103 4864476 7296714 8918206 9728952 13377309 14593428 17836412 26754618 29186856 35672824 40131927 53509236 80263854 107018472 160527708 170662033 321055416 341324066 511986099 682648132 1023972198 1365296264 1535958297 1877282363 2047944396 3071916594 3754564726 4095888792 5631847089 6143833188 7509129452 11263694178 12287666376 15018258904 16895541267 22527388356 33791082534 45054776712 67582165068 135164330136