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133127496 = 233323127211
BaseRepresentation
bin1111110111101…
…01110101001000
3100021111120121000
413323311311020
5233040034441
621113215000
73204364545
oct773656510
9307446530
10133127496
1169168727
1238701460
1321772188
1413975bcc
15ba4a2b6
hex7ef5d48

133127496 has 128 divisors (see below), whose sum is σ = 390758400. Its totient is φ = 41912640.

The previous prime is 133127419. The next prime is 133127497. The reversal of 133127496 is 694721331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133127496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133127497) 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 31 ways as a sum of consecutive naturals, for example, 630831 + ... + 631041.

It is an arithmetic number, because the mean of its divisors is an integer number (3052800).

Almost surely, 2133127496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133127496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195379200).

133127496 is an abundant number, since it is smaller than the sum of its proper divisors (257630904).

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

133127496 is a wasteful number, since it uses less digits than its factorization.

133127496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 133127496 is about 11538.0889232143. The cubic root of 133127496 is about 510.6099277137.

The spelling of 133127496 in words is "one hundred thirty-three million, one hundred twenty-seven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 127 138 184 207 211 216 254 276 381 414 422 508 552 621 633 762 828 844 1016 1143 1242 1266 1524 1656 1688 1899 2286 2484 2532 2921 3048 3429 3798 4572 4853 4968 5064 5697 5842 6858 7596 8763 9144 9706 11394 11684 13716 14559 15192 17526 19412 22788 23368 26289 26797 27432 29118 35052 38824 43677 45576 52578 53594 58236 70104 78867 80391 87354 105156 107188 116472 131031 157734 160782 174708 210312 214376 241173 262062 315468 321564 349416 482346 524124 616331 630936 643128 723519 964692 1048248 1232662 1447038 1848993 1929384 2465324 2894076 3697986 4930648 5546979 5788152 7395972 11093958 14791944 16640937 22187916 33281874 44375832 66563748 133127496