Search a number
-
+
135126004653 = 331715110911787
BaseRepresentation
bin111110111011000100…
…0110011001110101101
3110220210011102021002000
41331312020303032231
54203214224122103
6142024231122513
712522356042223
oct1756610631655
9426704367060
10135126004653
115234111a312
1222231513439
13c985b80493
14677c1aab13
1537acda9aa3
hex1f762333ad

135126004653 has 64 divisors (see below), whose sum is σ = 213681162240. Its totient is φ = 84099168000.

The previous prime is 135126004633. The next prime is 135126004691. The reversal of 135126004653 is 356400621531.

135126004653 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 600 + 46 + 5 + 3 = 666.

It is not a de Polignac number, because 135126004653 - 222 = 135121810349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135126004603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75615226 + ... + 75617012.

It is an arithmetic number, because the mean of its divisors is an integer number (3338768160).

Almost surely, 2135126004653 is an apocalyptic number.

It is an amenable number.

135126004653 is a deficient number, since it is larger than the sum of its proper divisors (78555157587).

135126004653 is a wasteful number, since it uses less digits than its factorization.

135126004653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135126004653 in words is "one hundred thirty-five billion, one hundred twenty-six million, four thousand, six hundred fifty-three".

Divisors: 1 3 9 17 27 51 151 153 453 459 1091 1359 1787 2567 3273 4077 5361 7701 9819 16083 18547 23103 29457 30379 48249 55641 69309 91137 164741 166923 269837 273411 494223 500769 809511 820233 1482669 1949617 2428533 2800597 4448007 4587229 5848851 7285599 8401791 13761687 17546553 25205373 33143489 41285061 52639659 75616119 99430467 123855183 294392167 298291401 883176501 894874203 2649529503 5004666839 7948588509 15014000517 45042001551 135126004653