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136154358081 = 347258572
BaseRepresentation
bin111111011001101101…
…1101010000101000001
3111000102211110000210000
41332303123222011001
54212321003424311
6142314244230213
712560013643200
oct1766333520501
9430384400700
10136154358081
1152819649485
122247999b369
13cabac37031
1468389b9237
15381d2dc056
hex1fb36ea141

136154358081 has 45 divisors (see below), whose sum is σ = 236638187379. Its totient is φ = 77789206656.

The previous prime is 136154358071. The next prime is 136154358107. The reversal of 136154358081 is 180853451631.

The square root of 136154358081 is 368991.

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

136154358081 is a `hidden beast` number, since 1 + 3 + 61 + 5 + 4 + 3 + 580 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128726676225 + 7427681856 = 358785^2 + 86184^2 .

It is not a de Polignac number, because 136154358081 - 25 = 136154358049 is a prime.

It is a super-2 number, since 2×1361543580812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136154358001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23243505 + ... + 23249361.

Almost surely, 2136154358081 is an apocalyptic number.

136154358081 is the 368991-st square number.

136154358081 is the 184496-th centered octagonal number.

It is an amenable number.

136154358081 is a deficient number, since it is larger than the sum of its proper divisors (100483829298).

136154358081 is an frugal number, since it uses more digits than its factorization.

136154358081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 5867 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 136154358081 in words is "one hundred thirty-six billion, one hundred fifty-four million, three hundred fifty-eight thousand, eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5857 17571 40999 52713 122997 158139 286993 368991 474417 860979 1106973 2582937 3320919 7748811 23246433 34304449 102913347 240131143 308740041 720393429 926220123 1680918001 2161180287 2778660369 5042754003 6483540861 15128262009 19450622583 45384786027 136154358081