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134781840 = 24335232713
BaseRepresentation
bin10000000100010…
…01101110010000
3100101121121221000
420002021232100
5234001004330
621212502000
73224424654
oct1002115620
9311547830
10134781840
116a098656
123917a900
1321c0118b
1413c86a64
15bc75560
hex8089b90

134781840 has 160 divisors (see below), whose sum is σ = 484611840. Its totient is φ = 34366464.

The previous prime is 134781811. The next prime is 134781847. The reversal of 134781840 is 48187431.

134781840 is a `hidden beast` number, since 1 + 3 + 478 + 184 + 0 = 666.

It is a super-2 number, since 2×1347818402 = 36332288787571200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 134781795 and 134781804.

It is not an unprimeable number, because it can be changed into a prime (134781847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48324 + ... + 51036.

It is an arithmetic number, because the mean of its divisors is an integer number (3028824).

Almost surely, 2134781840 is an apocalyptic number.

134781840 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 134781840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242305920).

134781840 is an abundant number, since it is smaller than the sum of its proper divisors (349830000).

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

134781840 is a wasteful number, since it uses less digits than its factorization.

134781840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 134781840 is about 11609.5581311263. The cubic root of 134781840 is about 512.7163029053.

The spelling of 134781840 in words is "one hundred thirty-four million, seven hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2713 2760 3105 3312 4140 4968 5426 5520 6210 8139 8280 9936 10852 12420 13565 16278 16560 21704 24417 24840 27130 32556 40695 43408 48834 49680 54260 62399 65112 73251 81390 97668 108520 122085 124798 130224 146502 162780 187197 195336 217040 244170 249596 293004 311995 325560 366255 374394 390672 488340 499192 561591 586008 623990 651120 732510 748788 935985 976680 998384 1123182 1172016 1247980 1465020 1497576 1684773 1871970 1953360 2246364 2495960 2807955 2930040 2995152 3369546 3743940 4492728 4991920 5615910 5860080 6739092 7487880 8423865 8985456 11231820 13478184 14975760 16847730 22463640 26956368 33695460 44927280 67390920 134781840