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134919792 = 24327137977
BaseRepresentation
bin10000000101010…
…11011001110000
3100101212122011100
420002223121300
5234014413132
621215444400
73225541110
oct1002533160
9311778140
10134919792
116a182267
1239226700
1321c4bbc7
1413cc1040
15bca137c
hex80ab670

134919792 has 120 divisors (see below), whose sum is σ = 435123936. Its totient is φ = 38227968.

The previous prime is 134919791. The next prime is 134919833. The reversal of 134919792 is 297919431.

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 (134919791) 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 23 ways as a sum of consecutive naturals, for example, 137608 + ... + 138584.

Almost surely, 2134919792 is an apocalyptic number.

134919792 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 134919792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217561968).

134919792 is an abundant number, since it is smaller than the sum of its proper divisors (300204144).

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

134919792 is a wasteful number, since it uses less digits than its factorization.

134919792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 134919792 is about 11615.4979230337. The cubic root of 134919792 is about 512.8911685051.

The spelling of 134919792 in words is "one hundred thirty-four million, nine hundred nineteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 137 144 168 252 274 336 411 504 548 822 959 977 1008 1096 1233 1644 1918 1954 2192 2466 2877 2931 3288 3836 3908 4932 5754 5862 6576 6839 7672 7816 8631 8793 9864 11508 11724 13678 15344 15632 17262 17586 19728 20517 23016 23448 27356 34524 35172 41034 46032 46896 54712 61551 69048 70344 82068 109424 123102 133849 138096 140688 164136 246204 267698 328272 401547 492408 535396 803094 936943 984816 1070792 1204641 1606188 1873886 2141584 2409282 2810829 3212376 3747772 4818564 5621658 6424752 7495544 8432487 9637128 11243316 14991088 16864974 19274256 22486632 33729948 44973264 67459896 134919792