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136122 = 2372463
BaseRepresentation
bin100001001110111010
320220201120
4201032322
513323442
62530110
71104600
oct411672
9226646
10136122
11932a8
1266936
1349c5c
1437870
152a4ec
hex213ba

136122 has 24 divisors (see below), whose sum is σ = 317376. Its totient is φ = 38808.

The previous prime is 136111. The next prime is 136133. The reversal of 136122 is 221631.

136122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (136111) and next prime (136133).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 136122.

It is an unprimeable number.

136122 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (13224).

2136122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158688).

136122 is an abundant number, since it is smaller than the sum of its proper divisors (181254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136122 is a wasteful number, since it uses less digits than its factorization.

136122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 475 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 136122 is about 368.9471506869. The cubic root of 136122 is about 51.4410044896.

Adding to 136122 its reverse (221631), we get a palindrome (357753).

The spelling of 136122 in words is "one hundred thirty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 463 926 1389 2778 3241 6482 9723 19446 22687 45374 68061 136122