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133740020232 = 233272132916013
BaseRepresentation
bin111110010001110000…
…1101100001000001000
3110210012120102221212200
41330203201230020020
54142344421121412
6141234520440200
712443126262300
oct1744341541010
9423176387780
10133740020232
115179a833745
1221b05319060
13c7c499b260
14668a0a6600
15372b3829dc
hex1f2386c208

133740020232 has 144 divisors (see below), whose sum is σ = 453760938540. Its totient is φ = 35272081152.

The previous prime is 133740020207. The next prime is 133740020251. The reversal of 133740020232 is 232020047331.

133740020232 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 400 + 20 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133732101636 + 7918596 = 365694^2 + 2814^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133740020196 and 133740020205.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1412143 + ... + 1503870.

Almost surely, 2133740020232 is an apocalyptic number.

133740020232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133740020232 is an abundant number, since it is smaller than the sum of its proper divisors (320020918308).

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

133740020232 is a wasteful number, since it uses less digits than its factorization.

133740020232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916052 (or 2916038 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 133740020232 its reverse (232020047331), we get a palindrome (365760067563).

The spelling of 133740020232 in words is "one hundred thirty-three billion, seven hundred forty million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 2916013 5832026 8748039 11664052 17496078 20412091 23328104 26244117 34992156 37908169 40824182 52488234 61236273 69984312 75816338 81648364 104976468 113724507 122472546 142884637 151632676 163296728 183708819 209952936 227449014 244945092 265357183 285769274 303265352 341173521 367417638 428653911 454898028 489890184 530714366 571538548 682347042 734835276 796071549 857307822 909796056 1061428732 1143077096 1285961733 1364694084 1469670552 1592143098 1714615644 1857500281 2122857464 2388214647 2571923466 2729388168 3184286196 3429231288 3715000562 4776429294 5143846932 5572500843 6368572392 7430001124 9552858588 10287693864 11145001686 14860002248 16717502529 19105717176 22290003372 33435005058 44580006744 66870010116 133740020232