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136552148271 = 3571126071093
BaseRepresentation
bin111111100101100100…
…1000110110100101111
3111001110112221212100000
41333023021012310233
54214124322221041
6142421534235343
712602614052310
oct1771311066457
9431415855300
10136552148271
1152a03145100
122256b055b53
13cb52483846
146875766607
1538431b5bb6
hex1fcb246d2f

136552148271 has 144 divisors (see below), whose sum is σ = 257610708992. Its totient is φ = 70754523840.

The previous prime is 136552148267. The next prime is 136552148273. The reversal of 136552148271 is 172841255631.

136552148271 is a `hidden beast` number, since 1 + 3 + 6 + 552 + 14 + 82 + 7 + 1 = 666.

It is not a de Polignac number, because 136552148271 - 22 = 136552148267 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136552148273) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124932801 + ... + 124933893.

Almost surely, 2136552148271 is an apocalyptic number.

136552148271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136552148271 is a deficient number, since it is larger than the sum of its proper divisors (121058560721).

136552148271 is a wasteful number, since it uses less digits than its factorization.

136552148271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1721 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 136552148271 in words is "one hundred thirty-six billion, five hundred fifty-two million, one hundred forty-eight thousand, two hundred seventy-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 121 189 231 243 297 363 567 607 693 847 891 1089 1093 1701 1821 2079 2541 2673 3267 3279 4249 5463 6237 6677 7623 7651 9801 9837 12023 12747 16389 18711 20031 22869 22953 29403 29511 36069 38241 46739 49167 60093 68607 68859 73447 84161 88533 108207 114723 132253 140217 147501 180279 205821 206577 220341 252483 265599 324621 344169 396759 420651 514129 540837 619731 661023 663451 757449 925771 973863 1032507 1190277 1261953 1542387 1622511 1859193 1983069 1990353 2272347 2777313 2921589 3570831 3785859 4627161 4644157 5949207 5971059 6817041 7297961 8331939 10712493 11357577 13881483 13932471 17847621 17913177 20451123 21893883 24995817 32137479 41644449 41797413 51085727 53739531 65681649 74987451 80277571 124933347 125392239 153257181 161218593 197044947 224962353 240832713 376176717 459771543 561942997 591134841 722498139 1128530151 1379314629 1685828991 1773404523 2167494417 4137943887 5057486973 6502483251 12413831661 15172460919 19507449753 45517382757 136552148271