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136146231 = 3313229837
BaseRepresentation
bin10000001110101…
…10110100110111
3100111011221112000
420013112310313
5234323134411
621302030343
73242136534
oct1007266467
9314157460
10136146231
116a93a751
12397183b3
132228b200
141411dd8b
15be44956
hex81d6d37

136146231 has 24 divisors (see below), whose sum is σ = 218414160. Its totient is φ = 83779488.

The previous prime is 136146221. The next prime is 136146233. The reversal of 136146231 is 132641631.

136146231 is a `hidden beast` number, since 1 + 36 + 1 + 4 + 623 + 1 = 666.

It is not a de Polignac number, because 136146231 - 26 = 136146167 is a prime.

It is a super-3 number, since 3×1361462313 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 136146195 and 136146204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136146233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10356 + ... + 19481.

It is an arithmetic number, because the mean of its divisors is an integer number (9100590).

Almost surely, 2136146231 is an apocalyptic number.

136146231 is a deficient number, since it is larger than the sum of its proper divisors (82267929).

136146231 is a wasteful number, since it uses less digits than its factorization.

136146231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29872 (or 29853 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 136146231 is about 11668.1717076841. The cubic root of 136146231 is about 514.4405663652.

Adding to 136146231 its reverse (132641631), we get a palindrome (268787862).

The spelling of 136146231 in words is "one hundred thirty-six million, one hundred forty-six thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 169 351 507 1521 4563 29837 89511 268533 387881 805599 1163643 3490929 5042453 10472787 15127359 45382077 136146231