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134651376 = 2433535881
BaseRepresentation
bin10000000011010…
…01110111110000
3100101100222222000
420001221313300
5233432321001
621210014000
73223342416
oct1001516760
9311328860
10134651376
116a009632
1239117300
1321b86992
1413c512b6
15bc4ba86
hex8069df0

134651376 has 80 divisors (see below), whose sum is σ = 393858720. Its totient is φ = 44029440.

The previous prime is 134651359. The next prime is 134651411. The reversal of 134651376 is 673156431.

134651376 is a `hidden beast` number, since 134 + 6 + 513 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134651376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19956 + ... + 25836.

It is an arithmetic number, because the mean of its divisors is an integer number (4923234).

Almost surely, 2134651376 is an apocalyptic number.

134651376 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 134651376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196929360).

134651376 is an abundant number, since it is smaller than the sum of its proper divisors (259207344).

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

134651376 is a wasteful number, since it uses less digits than its factorization.

134651376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5939 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 134651376 is about 11603.9379522643. The cubic root of 134651376 is about 512.5508191526.

It can be divided in two parts, 13465 and 1376, that added together give a palindrome (14841).

The spelling of 134651376 in words is "one hundred thirty-four million, six hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 5881 7632 11448 11762 17643 22896 23524 35286 47048 52929 70572 94096 105858 141144 158787 211716 282288 311693 317574 423432 623386 635148 846864 935079 1246772 1270296 1870158 2493544 2540592 2805237 3740316 4987088 5610474 7480632 8415711 11220948 14961264 16831422 22441896 33662844 44883792 67325688 134651376