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134510120 = 235171929359
BaseRepresentation
bin10000000010001…
…11011000101000
3100101002211012022
420001013120220
5233413310440
621203004012
73222213533
oct1001073050
9311084168
10134510120
1169a22498
1239069608
1321b375b4
1413c15a1a
15bc1ecb5
hex8047628

134510120 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 46190592.

The previous prime is 134510113. The next prime is 134510153. The reversal of 134510120 is 21015431.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 374501 + ... + 374859.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2134510120 is an apocalyptic number.

134510120 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 134510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

134510120 is an abundant number, since it is smaller than the sum of its proper divisors (215409880).

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

134510120 is a wasteful number, since it uses less digits than its factorization.

134510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 134510120 is about 11597.8498007174. The cubic root of 134510120 is about 512.3715259962.

Adding to 134510120 its reverse (21015431), we get a palindrome (155525551).

The spelling of 134510120 in words is "one hundred thirty-four million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 29 34 38 40 58 68 76 85 95 116 136 145 152 170 190 232 290 323 340 359 380 493 551 580 646 680 718 760 986 1102 1160 1292 1436 1615 1795 1972 2204 2465 2584 2755 2872 3230 3590 3944 4408 4930 5510 6103 6460 6821 7180 9367 9860 10411 11020 12206 12920 13642 14360 18734 19720 20822 22040 24412 27284 30515 34105 37468 41644 46835 48824 52055 54568 61030 68210 74936 83288 93670 104110 115957 122060 136420 176987 187340 197809 208220 231914 244120 272840 353974 374680 395618 416440 463828 579785 707948 791236 884935 927656 989045 1159570 1415896 1582472 1769870 1978090 2319140 3362753 3539740 3956180 4638280 6725506 7079480 7912360 13451012 16813765 26902024 33627530 67255060 134510120