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134121330 = 232572171789
BaseRepresentation
bin1111111111010…
…00011101110010
3100100101001212200
413333220131302
5233313340310
621150404030
73216004200
oct777503562
9310331780
10134121330
1169787382
1238b00616
1321a2c645
1413b54070
15bb949c0
hex7fe8772

134121330 has 144 divisors (see below), whose sum is σ = 429750360. Its totient is φ = 28836864.

The previous prime is 134121329. The next prime is 134121331. The reversal of 134121330 is 33121431.

It is an interprime number because it is at equal distance from previous prime (134121329) and next prime (134121331).

It can be written as a sum of positive squares in 4 ways, for example, as 133888041 + 233289 = 11571^2 + 483^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (134121331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74076 + ... + 75864.

Almost surely, 2134121330 is an apocalyptic number.

134121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214875180).

134121330 is an abundant number, since it is smaller than the sum of its proper divisors (295629030).

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

134121330 is a wasteful number, since it uses less digits than its factorization.

134121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 134121330 is about 11581.0763748453. The cubic root of 134121330 is about 511.8773942470.

Adding to 134121330 its reverse (33121431), we get a palindrome (167242761).

The spelling of 134121330 in words is "one hundred thirty-four million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 210 238 245 255 294 306 315 357 441 490 510 595 630 714 735 765 833 882 1071 1190 1470 1530 1666 1785 1789 2142 2205 2499 3570 3578 4165 4410 4998 5355 5367 7497 8330 8945 10710 10734 12495 12523 14994 16101 17890 24990 25046 26835 30413 32202 37485 37569 53670 60826 62615 74970 75138 80505 87661 91239 112707 125230 152065 161010 175322 182478 187845 212891 225414 262983 273717 304130 375690 425782 438305 456195 525966 547434 563535 638673 788949 876610 912390 1064455 1127070 1277346 1314915 1368585 1490237 1577898 1916019 2128910 2629830 2737170 2980474 3193365 3832038 3944745 4470711 6386730 7451185 7889490 8941422 9580095 13412133 14902370 19160190 22353555 26824266 44707110 67060665 134121330