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133136622 = 23417291667
BaseRepresentation
bin1111110111110…
…00000011101110
3100021112001010000
413323320003232
5233040332442
621113325130
73204433263
oct773700356
9307461100
10133136622
1169174573
12387067a6
1321776388
141397926a
15ba4cd4c
hex7ef80ee

133136622 has 80 divisors (see below), whose sum is σ = 326961360. Its totient is φ = 40303872.

The previous prime is 133136621. The next prime is 133136659. The reversal of 133136622 is 226631331.

It is a happy number.

133136622 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 36 + 622 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133136621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79033 + ... + 80699.

It is an arithmetic number, because the mean of its divisors is an integer number (4087017).

Almost surely, 2133136622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133136622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163480680).

133136622 is an abundant number, since it is smaller than the sum of its proper divisors (193824738).

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

133136622 is a wasteful number, since it uses less digits than its factorization.

133136622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1718 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 133136622 is about 11538.4843892081. The cubic root of 133136622 is about 510.6215950248.

Adding to 133136622 its reverse (226631331), we get a palindrome (359767953).

The spelling of 133136622 in words is "one hundred thirty-three million, one hundred thirty-six thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 261 306 459 493 522 783 918 986 1377 1479 1566 1667 2349 2754 2958 3334 4437 4698 5001 8874 10002 13311 15003 26622 28339 30006 39933 45009 48343 56678 79866 85017 90018 96686 135027 145029 170034 255051 270054 290058 435087 510102 765153 821831 870174 1305261 1530306 1643662 2295459 2465493 2610522 3915783 4590918 4930986 7396479 7831566 14792958 22189437 44378874 66568311 133136622