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136327131 = 351761541
BaseRepresentation
bin10000010000000…
…10111111011011
3100111112010200000
420020002333123
5234344432011
621305544043
73243522123
oct1010027733
9314463600
10136327131
116aa53656
12397a5023
1322322655
1414169c83
15be7d356
hex8202fdb

136327131 has 48 divisors (see below), whose sum is σ = 220173408. Its totient is φ = 83980800.

The previous prime is 136327117. The next prime is 136327133. The reversal of 136327131 is 131723631.

136327131 is a `hidden beast` number, since 1 + 363 + 271 + 31 = 666.

It is not a de Polignac number, because 136327131 - 25 = 136327099 is a prime.

It is a super-2 number, since 2×1363271312 = 37170173293382322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 136327095 and 136327104.

It is not an unprimeable number, because it can be changed into a prime (136327133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251721 + ... + 252261.

It is an arithmetic number, because the mean of its divisors is an integer number (4586946).

Almost surely, 2136327131 is an apocalyptic number.

136327131 is a deficient number, since it is larger than the sum of its proper divisors (83846277).

136327131 is an equidigital number, since it uses as much as digits as its factorization.

136327131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 622 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 136327131 is about 11675.9209915107. The cubic root of 136327131 is about 514.6683144032.

The spelling of 136327131 in words is "one hundred thirty-six million, three hundred twenty-seven thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 61 81 153 183 243 459 541 549 1037 1377 1623 1647 3111 4131 4869 4941 9197 9333 14607 14823 27591 27999 33001 43821 82773 83997 99003 131463 248319 251991 297009 561017 744957 891027 1683051 2234871 2673081 5049153 8019243 15147459 45442377 136327131