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134807040 = 293255851
BaseRepresentation
bin10000000100011…
…11111000000000
3100101122220111100
420002033320000
5234002311130
621213214400
73224561304
oct1002177000
9311586440
10134807040
116a105585
1239191400
1321c0c7a4
1413c91d04
15bc7cc60
hex808fe00

134807040 has 120 divisors (see below), whose sum is σ = 466954488. Its totient is φ = 35942400.

The previous prime is 134807027. The next prime is 134807069. The reversal of 134807040 is 40708431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 134806995 and 134807013.

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, 20115 + ... + 25965.

Almost surely, 2134807040 is an apocalyptic number.

134807040 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 134807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233477244).

134807040 is an abundant number, since it is smaller than the sum of its proper divisors (332147448).

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

134807040 is an equidigital number, since it uses as much as digits as its factorization.

134807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 134807040 is about 11610.6433930252. The cubic root of 134807040 is about 512.7482548995.

The spelling of 134807040 in words is "one hundred thirty-four million, eight hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 5851 7680 11520 11702 17553 23040 23404 29255 35106 46808 52659 58510 70212 87765 93616 105318 117020 140424 175530 187232 210636 234040 263295 280848 351060 374464 421272 468080 526590 561696 702120 748928 842544 936160 1053180 1123392 1404240 1497856 1685088 1872320 2106360 2246784 2808480 2995712 3370176 3744640 4212720 4493568 5616960 6740352 7489280 8425440 8987136 11233920 13480704 14978560 16850880 22467840 26961408 33701760 44935680 67403520 134807040