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134140500 = 223253132293
BaseRepresentation
bin1111111111011…
…01001001010100
3100100102001011200
413333231021110
5233314444000
621151032500
73216114114
oct777551124
9310361150
10134140500
116979a81a
1238b0b730
1321a382a0
1413b5b044
15bb9a500
hex7fed254

134140500 has 144 divisors (see below), whose sum is σ = 455918736. Its totient is φ = 33004800.

The previous prime is 134140483. The next prime is 134140511. The reversal of 134140500 is 5041431.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83503044 + 50637456 = 9138^2 + 7116^2 .

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

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, 57354 + ... + 59646.

Almost surely, 2134140500 is an apocalyptic number.

134140500 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 134140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227959368).

134140500 is an abundant number, since it is smaller than the sum of its proper divisors (321778236).

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

134140500 is a wasteful number, since it uses less digits than its factorization.

134140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 134140500 is about 11581.9039885504. The cubic root of 134140500 is about 511.9017806792.

Adding to 134140500 its reverse (5041431), we get a palindrome (139181931).

The spelling of 134140500 in words is "one hundred thirty-four million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 125 130 150 156 180 195 225 234 250 260 300 325 375 390 450 468 500 585 650 750 780 900 975 1125 1170 1300 1500 1625 1950 2250 2293 2340 2925 3250 3900 4500 4586 4875 5850 6500 6879 9172 9750 11465 11700 13758 14625 19500 20637 22930 27516 29250 29809 34395 41274 45860 57325 58500 59618 68790 82548 89427 103185 114650 119236 137580 149045 171975 178854 206370 229300 268281 286625 298090 343950 357708 412740 447135 515925 536562 573250 596180 687900 745225 859875 894270 1031850 1073124 1146500 1341405 1490450 1719750 1788540 2063700 2235675 2579625 2682810 2980900 3439500 3726125 4471350 5159250 5365620 6707025 7452250 8942700 10318500 11178375 13414050 14904500 22356750 26828100 33535125 44713500 67070250 134140500