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133691376 = 243713127241
BaseRepresentation
bin1111111011111…
…11011111110000
3100022120020002110
413331333133300
5233211111001
621133245320
73212233530
oct775773760
9308506073
10133691376
1169513345
1238933840
132190ba30
1413a814c0
15bb0c3d6
hex7f7f7f0

133691376 has 160 divisors (see below), whose sum is σ = 430194688. Its totient is φ = 34836480.

The previous prime is 133691339. The next prime is 133691381. The reversal of 133691376 is 673196331.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554616 + ... + 554856.

Almost surely, 2133691376 is an apocalyptic number.

133691376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133691376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215097344).

133691376 is an abundant number, since it is smaller than the sum of its proper divisors (296503312).

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

133691376 is a wasteful number, since it uses less digits than its factorization.

133691376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its digits is 61236, while the sum is 39.

The square root of 133691376 is about 11562.4986918918. The cubic root of 133691376 is about 511.3298320068.

The spelling of 133691376 in words is "one hundred thirty-three million, six hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 127 156 168 182 208 241 254 273 312 336 364 381 482 508 546 624 723 728 762 889 964 1016 1092 1446 1456 1524 1651 1687 1778 1928 2032 2184 2667 2892 3048 3133 3302 3374 3556 3856 4368 4953 5061 5334 5784 6096 6266 6604 6748 7112 9399 9906 10122 10668 11557 11568 12532 13208 13496 14224 18798 19812 20244 21336 21931 23114 25064 26416 26992 30607 34671 37596 39624 40488 42672 43862 46228 50128 61214 65793 69342 75192 79248 80976 87724 91821 92456 122428 131586 138684 150384 175448 183642 184912 214249 244856 263172 277368 350896 367284 397891 428498 489712 526344 554736 642747 734568 795782 856996 1052688 1193673 1285494 1469136 1591564 1713992 2387346 2570988 2785237 3183128 3427984 4774692 5141976 5570474 6366256 8355711 9549384 10283952 11140948 16711422 19098768 22281896 33422844 44563792 66845688 133691376