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136272161088 = 2632724828237
BaseRepresentation
bin111111011101001110…
…1000010100101000000
3111000202001010001010100
41332322131002211000
54213041133123323
6142334053202400
712562644154200
oct1767235024500
9430661101110
10136272161088
115287a09a638
12224b1330400
13cb09471c5b
14684a4c2400
15382880b943
hex1fba742940

136272161088 has 126 divisors (see below), whose sum is σ = 454370993466. Its totient is φ = 38934895104.

The previous prime is 136272161063. The next prime is 136272161099. The reversal of 136272161088 is 880161272631.

136272161088 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 7 + 21 + 610 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70547609664 + 65724551424 = 265608^2 + 256368^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2385895 + ... + 2442342.

Almost surely, 2136272161088 is an apocalyptic number.

136272161088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136272161088 is an abundant number, since it is smaller than the sum of its proper divisors (318098832378).

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

136272161088 is a wasteful number, since it uses less digits than its factorization.

136272161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828269 (or 4828249 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 136272161088 in words is "one hundred thirty-six billion, two hundred seventy-two million, one hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 4828237 9656474 14484711 19312948 28969422 33797659 38625896 43454133 57938844 67595318 77251792 86908266 101392977 115877688 135190636 154503584 173816532 202785954 231755376 236583613 270381272 304178931 309007168 347633064 405571908 463510752 473167226 540762544 608357862 695266128 709750839 811143816 927021504 946334452 1081525088 1216715724 1390532256 1419501678 1622287632 1892668904 2129252517 2163050176 2433431448 2781064512 2839003356 3244575264 3785337808 4258505034 4866862896 5678006712 6489150528 7570675616 8517010068 9733725792 11356013424 15141351232 17034020136 19467451584 22712026848 34068040272 45424053696 68136080544 136272161088