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134608920 = 233519431373
BaseRepresentation
bin10000000010111…
…11100000011000
3100101021211201120
420001133200120
5233424441140
621205045240
73223104555
oct1001374030
9311254646
10134608920
1169a8a746
12390b6820
1321b70564
1413c3da2c
15bc3e1d0
hex805f818

134608920 has 128 divisors (see below), whose sum is σ = 435283200. Its totient is φ = 33191424.

The previous prime is 134608909. The next prime is 134608933. The reversal of 134608920 is 29806431.

It is a super-2 number, since 2×1346089202 = 36239122687132800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97354 + ... + 98726.

It is an arithmetic number, because the mean of its divisors is an integer number (3400650).

Almost surely, 2134608920 is an apocalyptic number.

134608920 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 134608920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217641600).

134608920 is an abundant number, since it is smaller than the sum of its proper divisors (300674280).

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

134608920 is a wasteful number, since it uses less digits than its factorization.

134608920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 134608920 is about 11602.1084290744. The cubic root of 134608920 is about 512.4969438644.

The spelling of 134608920 in words is "one hundred thirty-four million, six hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 760 817 860 1032 1140 1290 1373 1634 1720 2280 2451 2580 2746 3268 4085 4119 4902 5160 5492 6536 6865 8170 8238 9804 10984 12255 13730 16340 16476 19608 20595 24510 26087 27460 32680 32952 41190 49020 52174 54920 59039 78261 82380 98040 104348 118078 130435 156522 164760 177117 208696 236156 260870 295195 313044 354234 391305 472312 521740 590390 626088 708468 782610 885585 1043480 1121741 1180780 1416936 1565220 1771170 2243482 2361560 3130440 3365223 3542340 4486964 5608705 6730446 7084680 8973928 11217410 13460892 16826115 22434820 26921784 33652230 44869640 67304460 134608920