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133534212 = 223722941191
BaseRepresentation
bin1111111010110…
…01001000000100
3100022021020111120
413331121020010
5233141043322
621130033540
73211010400
oct775311004
9308236446
10133534212
1169416259
12388788b0
1321885336
1413a40100
15bacaa5c
hex7f59204

133534212 has 144 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 35750400.

The previous prime is 133534157. The next prime is 133534213. The reversal of 133534212 is 212435331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133534213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699037 + ... + 699227.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2133534212 is an apocalyptic number.

133534212 is a gapful number since it is divisible by the number (12) 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 133534212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

133534212 is an abundant number, since it is smaller than the sum of its proper divisors (252570108).

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

133534212 is a wasteful number, since it uses less digits than its factorization.

133534212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 133534212 is about 11555.7004114852. The cubic root of 133534212 is about 511.1293848889.

Adding to 133534212 its reverse (212435331), we get a palindrome (345969543).

The spelling of 133534212 in words is "one hundred thirty-three million, five hundred thirty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 41 42 49 58 82 84 87 98 116 123 147 164 174 191 196 203 246 287 294 348 382 406 492 573 574 588 609 764 812 861 1146 1148 1189 1218 1337 1421 1722 2009 2292 2378 2436 2674 2842 3444 3567 4011 4018 4263 4756 5348 5539 5684 6027 7134 7831 8022 8036 8323 8526 9359 11078 12054 14268 15662 16044 16617 16646 17052 18718 22156 23493 24108 24969 28077 31324 33234 33292 37436 38773 46986 49938 54817 56154 58261 66468 77546 93972 99876 109634 112308 116319 116522 155092 164451 174783 219268 227099 232638 233044 271411 328902 349566 383719 454198 465276 542822 657804 681297 699132 767438 814233 908396 1085644 1151157 1362594 1534876 1589693 1628466 2302314 2725188 3179386 3256932 4604628 4769079 6358772 9538158 11127851 19076316 22255702 33383553 44511404 66767106 133534212