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134795040 = 25351716519
BaseRepresentation
bin10000000100011…
…00111100100000
3100101122022000220
420002030330200
5234001420130
621213043040
73224511312
oct1002147440
9311568026
10134795040
116a0a7566
1239186480
1321c071a3
1413c8b7b2
15bc79410
hex808cf20

134795040 has 96 divisors (see below), whose sum is σ = 449608320. Its totient is φ = 33828864.

The previous prime is 134795027. The next prime is 134795041. The reversal of 134795040 is 40597431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 134794992 and 134795010.

It is not an unprimeable number, because it can be changed into a prime (134795041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 16419.

It is an arithmetic number, because the mean of its divisors is an integer number (4683420).

Almost surely, 2134795040 is an apocalyptic number.

134795040 is a gapful number since it is divisible by the number (10) 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 134795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224804160).

134795040 is an abundant number, since it is smaller than the sum of its proper divisors (314813280).

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

134795040 is a wasteful number, since it uses less digits than its factorization.

134795040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16554 (or 16546 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 134795040 is about 11610.1266142967. The cubic root of 134795040 is about 512.7330401608.

The spelling of 134795040 in words is "one hundred thirty-four million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 16519 33038 49557 66076 82595 99114 132152 165190 198228 247785 264304 280823 330380 396456 495570 528608 561646 660760 792912 842469 991140 1123292 1321520 1404115 1585824 1684938 1982280 2246584 2643040 2808230 3369876 3964560 4212345 4493168 5616460 6739752 7929120 8424690 8986336 11232920 13479504 16849380 22465840 26959008 33698760 44931680 67397520 134795040