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133540650 = 2355229379
BaseRepresentation
bin1111111010110…
…10101100101010
3100022021120100000
413331122230222
5233141300100
621130123430
73211035225
oct775325452
9308246300
10133540650
1169420081
1238880576
1321888249
1413a425bc
15bacc900
hex7f5ab2a

133540650 has 144 divisors (see below), whose sum is σ = 385912800. Its totient is φ = 34292160.

The previous prime is 133540637. The next prime is 133540681. The reversal of 133540650 is 56045331.

133540650 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 4 + 0 + 650 = 666.

It is a super-3 number, since 3×1335406503 (a number of 25 digits) contains 333 as substring.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 352161 + ... + 352539.

It is an arithmetic number, because the mean of its divisors is an integer number (2679950).

Almost surely, 2133540650 is an apocalyptic number.

133540650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133540650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

133540650 is an abundant number, since it is smaller than the sum of its proper divisors (252372150).

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

133540650 is a wasteful number, since it uses less digits than its factorization.

133540650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 133540650 is about 11555.9789719435. The cubic root of 133540650 is about 511.1375990088.

Adding to 133540650 its reverse (56045331), we get a palindrome (189585981).

The spelling of 133540650 in words is "one hundred thirty-three million, five hundred forty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 29 30 45 50 54 58 75 81 87 90 135 145 150 162 174 225 243 261 270 290 379 405 435 450 486 522 675 725 758 783 810 870 1137 1215 1305 1350 1450 1566 1895 2025 2175 2274 2349 2430 2610 3411 3790 3915 4050 4350 4698 5685 6075 6525 6822 7047 7830 9475 10233 10991 11370 11745 12150 13050 14094 17055 18950 19575 20466 21982 23490 28425 30699 32973 34110 35235 39150 51165 54955 56850 58725 61398 65946 70470 85275 92097 98919 102330 109910 117450 153495 164865 170550 176175 184194 197838 255825 274775 296757 306990 329730 352350 460485 494595 511650 549550 593514 767475 824325 890271 920970 989190 1483785 1534950 1648650 1780542 2302425 2472975 2670813 2967570 4451355 4604850 4945950 5341626 7418925 8902710 13354065 14837850 22256775 26708130 44513550 66770325 133540650