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134437212 = 223371313679
BaseRepresentation
bin10000000001101…
…01100101011100
3100100222010012000
420000311211130
5233403442322
621201242300
73221461140
oct1000654534
9310863160
10134437212
1169982738
1239033390
1321b10360
1413bd7220
15bc083ac
hex803595c

134437212 has 96 divisors (see below), whose sum is σ = 429004800. Its totient is φ = 35453376.

The previous prime is 134437211. The next prime is 134437267. The reversal of 134437212 is 212734431.

It is a happy number.

134437212 is a `hidden beast` number, since 1 + 3 + 443 + 7 + 212 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134437211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989 + ... + 16667.

It is an arithmetic number, because the mean of its divisors is an integer number (4468800).

Almost surely, 2134437212 is an apocalyptic number.

134437212 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 134437212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214502400).

134437212 is an abundant number, since it is smaller than the sum of its proper divisors (294567588).

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

134437212 is a wasteful number, since it uses less digits than its factorization.

134437212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13712 (or 13704 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 134437212 is about 11594.7062058510. The cubic root of 134437212 is about 512.2789363468.

The spelling of 134437212 in words is "one hundred thirty-four million, four hundred thirty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 13679 27358 41037 54716 82074 95753 123111 164148 177827 191506 246222 287259 355654 369333 383012 492444 533481 574518 711308 738666 861777 1066962 1149036 1244789 1477332 1600443 1723554 2133924 2489578 2585331 3200886 3447108 3734367 4801329 4979156 5170662 6401772 7468734 9602658 10341324 11203101 14937468 19205316 22406202 33609303 44812404 67218606 134437212