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136546508484 = 223822812
BaseRepresentation
bin111111100101011001…
…1100101111011000100
3111001110011100100000000
41333022303211323010
54214121401232414
6142421213321300
712602515112631
oct1771263457304
9431404310000
10136546508484
11529aaa42921
1222569196230
13cb5125a7a9
146874ad9188
15384294eb09
hex1fcace5ec4

136546508484 has 81 divisors (see below), whose sum is σ = 358573574541. Its totient is φ = 45495548640.

The previous prime is 136546508317. The next prime is 136546508489. The reversal of 136546508484 is 484805645631.

The square root of 136546508484 is 369522.

It is a perfect power (a square), and thus also a powerful number.

136546508484 is a `hidden beast` number, since 1 + 3 + 6 + 54 + 6 + 508 + 4 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82126950084 + 54419558400 = 286578^2 + 233280^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 136546508484.

It is not an unprimeable number, because it can be changed into a prime (136546508489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59861424 + ... + 59863704.

Almost surely, 2136546508484 is an apocalyptic number.

136546508484 is the 369522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136546508484

136546508484 is an abundant number, since it is smaller than the sum of its proper divisors (222027066057).

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

136546508484 is an frugal number, since it uses more digits than its factorization.

136546508484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 136546508484 in words is "one hundred thirty-six billion, five hundred forty-six million, five hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2281 2916 4374 4562 6561 6843 8748 9124 13122 13686 20529 26244 27372 41058 61587 82116 123174 184761 246348 369522 554283 739044 1108566 1662849 2217132 3325698 4988547 5202961 6651396 9977094 10405922 14965641 15608883 19954188 20811844 29931282 31217766 46826649 59862564 62435532 93653298 140479947 187306596 280959894 421439841 561919788 842879682 1264319523 1685759364 2528639046 3792958569 5057278092 7585917138 11378875707 15171834276 22757751414 34136627121 45515502828 68273254242 136546508484