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134055540 = 22335172859
BaseRepresentation
bin1111111110110…
…00011001110100
3100100020201122000
413333120121310
5233304234130
621145135300
73215311323
oct777303164
9310221560
10134055540
1169741a03
1238a8a530
1321a08708
1413b380ba
15bb80260
hex7fd8674

134055540 has 144 divisors (see below), whose sum is σ = 443553600. Its totient is φ = 33606144.

The previous prime is 134055539. The next prime is 134055577. The reversal of 134055540 is 45550431.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155631 + ... + 156489.

Almost surely, 2134055540 is an apocalyptic number.

134055540 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 134055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221776800).

134055540 is an abundant number, since it is smaller than the sum of its proper divisors (309498060).

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

134055540 is a wasteful number, since it uses less digits than its factorization.

134055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 134055540 is about 11578.2356168805. The cubic root of 134055540 is about 511.7936841673.

The spelling of 134055540 in words is "one hundred thirty-four million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 289 306 340 459 510 540 578 612 765 859 867 918 1020 1156 1445 1530 1718 1734 1836 2295 2577 2601 2890 3060 3436 3468 4295 4335 4590 5154 5202 5780 7731 7803 8590 8670 9180 10308 10404 12885 13005 14603 15462 15606 17180 17340 23193 25770 26010 29206 30924 31212 38655 39015 43809 46386 51540 52020 58412 73015 77310 78030 87618 92772 115965 131427 146030 154620 156060 175236 219045 231930 248251 262854 292060 394281 438090 463860 496502 525708 657135 744753 788562 876180 993004 1241255 1314270 1489506 1577124 1971405 2234259 2482510 2628540 2979012 3723765 3942810 4468518 4965020 6702777 7447530 7885620 8937036 11171295 13405554 14895060 22342590 26811108 33513885 44685180 67027770 134055540