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134237664 = 25321142373
BaseRepresentation
bin10000000000001…
…00110111100000
3100100120222110100
420000010313200
5233331101124
621153102400
73220000311
oct1000046740
9310528410
10134237664
1169856820
1238b57a00
1321a70592
1413b84608
15bbb91c9
hex8004de0

134237664 has 72 divisors (see below), whose sum is σ = 416451672. Its totient is φ = 40677120.

The previous prime is 134237659. The next prime is 134237671. The reversal of 134237664 is 466732431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18019 + ... + 24354.

It is an arithmetic number, because the mean of its divisors is an integer number (5784051).

Almost surely, 2134237664 is an apocalyptic number.

It is an amenable number.

134237664 is an abundant number, since it is smaller than the sum of its proper divisors (282214008).

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

134237664 is a wasteful number, since it uses less digits than its factorization.

134237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42400 (or 42389 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 134237664 is about 11586.0978763344. The cubic root of 134237664 is about 512.0253486799.

The spelling of 134237664 in words is "one hundred thirty-four million, two hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 42373 84746 127119 169492 254238 338984 381357 466103 508476 677968 762714 932206 1016952 1355936 1398309 1525428 1864412 2033904 2796618 3050856 3728824 4067808 4194927 5593236 6101712 7457648 8389854 11186472 12203424 14915296 16779708 22372944 33559416 44745888 67118832 134237664