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134691120 = 24335127491
BaseRepresentation
bin10000000011100…
…11100100110000
3100101110000111000
420001303210300
5233440103440
621210522000
73223566324
oct1001634460
9311400430
10134691120
116a036483
1239136300
1321b9bab5
1413c61984
15bc58730
hex8073930

134691120 has 160 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 35562240.

The previous prime is 134691097. The next prime is 134691121. The reversal of 134691120 is 21196431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134691121) 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, 274075 + ... + 274565.

It is an arithmetic number, because the mean of its divisors is an integer number (2928384).

Almost surely, 2134691120 is an apocalyptic number.

134691120 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 134691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

134691120 is an abundant number, since it is smaller than the sum of its proper divisors (333850320).

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

134691120 is a wasteful number, since it uses less digits than its factorization.

134691120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 134691120 is about 11605.6503479986. The cubic root of 134691120 is about 512.6012427389.

The spelling of 134691120 in words is "one hundred thirty-four million, six hundred ninety-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 127 135 144 180 216 240 254 270 360 381 432 491 508 540 635 720 762 982 1016 1080 1143 1270 1473 1524 1905 1964 2032 2160 2286 2455 2540 2946 3048 3429 3810 3928 4419 4572 4910 5080 5715 5892 6096 6858 7365 7620 7856 8838 9144 9820 10160 11430 11784 13257 13716 14730 15240 17145 17676 18288 19640 22095 22860 23568 26514 27432 29460 30480 34290 35352 39280 44190 45720 53028 54864 58920 62357 66285 68580 70704 88380 91440 106056 117840 124714 132570 137160 176760 187071 212112 249428 265140 274320 311785 353520 374142 498856 530280 561213 623570 748284 935355 997712 1060560 1122426 1247140 1496568 1683639 1870710 2244852 2494280 2806065 2993136 3367278 3741420 4489704 4988560 5612130 6734556 7482840 8418195 8979408 11224260 13469112 14965680 16836390 22448520 26938224 33672780 44897040 67345560 134691120