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134221120 = 26511172243
BaseRepresentation
bin10000000000000…
…00110101000000
3100100120010202121
420000000311000
5233330033440
621152454024
73216601135
oct1000006500
9310503677
10134221120
1169845350
1238b4a314
1321a65ba7
1413b7c58c
15bbb434a
hex8000d40

134221120 has 112 divisors (see below), whose sum is σ = 369344448. Its totient is φ = 45916160.

The previous prime is 134221117. The next prime is 134221127. The reversal of 134221120 is 21122431.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 134221094 and 134221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58719 + ... + 60961.

Almost surely, 2134221120 is an apocalyptic number.

134221120 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 134221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672224).

134221120 is an abundant number, since it is smaller than the sum of its proper divisors (235123328).

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

134221120 is a wasteful number, since it uses less digits than its factorization.

134221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 134221120 is about 11585.3838952363. The cubic root of 134221120 is about 512.0043131147.

Adding to 134221120 its reverse (21122431), we get a palindrome (155343551).

The spelling of 134221120 in words is "one hundred thirty-four million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1760 1870 2243 2720 2992 3520 3740 4486 5440 5984 7480 8972 11215 11968 14960 17944 22430 24673 29920 35888 38131 44860 49346 59840 71776 76262 89720 98692 123365 143552 152524 179440 190655 197384 246730 305048 358880 381310 394768 419441 493460 610096 717760 762620 789536 838882 986920 1220192 1525240 1579072 1677764 1973840 2097205 2440384 3050480 3355528 3947680 4194410 6100960 6711056 7895360 8388820 12201920 13422112 16777640 26844224 33555280 67110560 134221120