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133621056 = 2633531459
BaseRepresentation
bin1111111011011…
…10010101000000
3100022102122122000
413331232111000
5233201333211
621131544000
73211521522
oct775562500
9308378560
10133621056
1169475528
12388bb000
13218b5a1a
1413a63a12
15bae6656
hex7f6e540

133621056 has 112 divisors (see below), whose sum is σ = 400507200. Its totient is φ = 43670016.

The previous prime is 133621051. The next prime is 133621057. The reversal of 133621056 is 650126331.

133621056 is a `hidden beast` number, since 1 + 33 + 621 + 0 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133621051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90855 + ... + 92313.

Almost surely, 2133621056 is an apocalyptic number.

133621056 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 133621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200253600).

133621056 is an abundant number, since it is smaller than the sum of its proper divisors (266886144).

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

133621056 is a wasteful number, since it uses less digits than its factorization.

133621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133621056 is about 11559.4574267134. The cubic root of 133621056 is about 511.2401652410.

Adding to 133621056 its reverse (650126331), we get a palindrome (783747387).

The spelling of 133621056 in words is "one hundred thirty-three million, six hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1459 1696 1728 1908 2544 2862 2918 3392 3816 4377 5088 5724 5836 7632 8754 10176 11448 11672 13131 15264 17508 22896 23344 26262 30528 35016 39393 45792 46688 52524 70032 77327 78786 91584 93376 105048 140064 154654 157572 210096 231981 280128 309308 315144 420192 463962 618616 630288 695943 840384 927924 1237232 1260576 1391886 1855848 2087829 2474464 2521152 2783772 3711696 4175658 4948928 5567544 7423392 8351316 11135088 14846784 16702632 22270176 33405264 44540352 66810528 133621056