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134130816 = 273417761
BaseRepresentation
bin1111111111010…
…10110010000000
3100100101112220000
413333222302000
5233314141231
621150520000
73216043641
oct777526200
9310345800
10134130816
1169793516
1238b06000
1321a33a61
1413b576c8
15bb976e6
hex7feac80

134130816 has 160 divisors (see below), whose sum is σ = 423207180. Its totient is φ = 42024960.

The previous prime is 134130811. The next prime is 134130827. The reversal of 134130816 is 618031431.

134130816 is a `hidden beast` number, since 1 + 341 + 308 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 6350400 = 11304^2 + 2520^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134130816.

It is not an unprimeable number, because it can be changed into a prime (134130811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175876 + ... + 176636.

Almost surely, 2134130816 is an apocalyptic number.

134130816 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 134130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211603590).

134130816 is an abundant number, since it is smaller than the sum of its proper divisors (289076364).

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

134130816 is an equidigital number, since it uses as much as digits as its factorization.

134130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134130816 is about 11581.4859150283. The cubic root of 134130816 is about 511.8894618142.

The spelling of 134130816 in words is "one hundred thirty-four million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 761 816 864 918 1088 1152 1224 1296 1377 1522 1632 1728 1836 2176 2283 2448 2592 2754 3044 3264 3456 3672 4566 4896 5184 5508 6088 6528 6849 7344 9132 9792 10368 11016 12176 12937 13698 14688 18264 19584 20547 22032 24352 25874 27396 29376 36528 38811 41094 44064 48704 51748 54792 58752 61641 73056 77622 82188 88128 97408 103496 109584 116433 123282 146112 155244 164376 176256 206992 219168 232866 246564 292224 310488 328752 349299 413984 438336 465732 493128 620976 657504 698598 827968 876672 931464 986256 1047897 1241952 1315008 1397196 1655936 1862928 1972512 2095794 2483904 2630016 2794392 3725856 3945024 4191588 4967808 5588784 7451712 7890048 8383176 11177568 14903424 16766352 22355136 33532704 44710272 67065408 134130816