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136315285681 = 193219132
BaseRepresentation
bin111111011110100000…
…1100011000010110001
3111000212001020222221111
41332331001203002301
54213133203120211
6142342233353321
712564006544651
oct1767501430261
9430761228844
10136315285681
11528a14747a3
1222503868841
13cb15390a73
14685210a361
15382c4c9421
hex1fbd0630b1

136315285681 has 9 divisors (see below), whose sum is σ = 137096907969. Its totient is φ = 135538100736.

The previous prime is 136315285597. The next prime is 136315285693. The reversal of 136315285681 is 186582513631.

The square root of 136315285681 is 369209.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2915028081 + 133400257600 = 53991^2 + 365240^2 .

It is a de Polignac number, because none of the positive numbers 2k-136315285681 is a prime.

It is a super-2 number, since 2×1363152856812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136315285081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71256381 + ... + 71258293.

Almost surely, 2136315285681 is an apocalyptic number.

136315285681 is the 369209-th square number.

136315285681 is the 184605-th centered octagonal number.

It is an amenable number.

136315285681 is a deficient number, since it is larger than the sum of its proper divisors (781622288).

136315285681 is an frugal number, since it uses more digits than its factorization.

136315285681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 2106 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

Multiplying 136315285681 by its sum of digits (49), we get a square (6679448998369 = 25844632).

The spelling of 136315285681 in words is "one hundred thirty-six billion, three hundred fifteen million, two hundred eighty-five thousand, six hundred eighty-one".

Divisors: 1 193 1913 37249 369209 3659569 71257337 706296817 136315285681