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135068700 = 223521359587
BaseRepresentation
bin10000000110011…
…11110000011100
3100102011012102110
420003033300130
5234034144300
621222554020
73230031204
oct1003176034
9312135373
10135068700
116a274128
1239298910
1321ca1910
1413d1d404
15bcd0550
hex80cfc1c

135068700 has 144 divisors (see below), whose sum is σ = 428722560. Its totient is φ = 32628480.

The previous prime is 135068683. The next prime is 135068707. The reversal of 135068700 is 7860531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135068707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229807 + ... + 230393.

It is an arithmetic number, because the mean of its divisors is an integer number (2977240).

Almost surely, 2135068700 is an apocalyptic number.

135068700 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 135068700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214361280).

135068700 is an abundant number, since it is smaller than the sum of its proper divisors (293653860).

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

135068700 is a wasteful number, since it uses less digits than its factorization.

135068700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 135068700 is about 11621.9060398886. The cubic root of 135068700 is about 513.0797880222.

The spelling of 135068700 in words is "one hundred thirty-five million, sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 118 130 150 156 177 195 236 260 295 300 325 354 390 587 590 650 708 767 780 885 975 1174 1180 1300 1475 1534 1761 1770 1950 2301 2348 2935 2950 3068 3522 3540 3835 3900 4425 4602 5870 5900 7044 7631 7670 8805 8850 9204 11505 11740 14675 15262 15340 17610 17700 19175 22893 23010 29350 30524 34633 35220 38155 38350 44025 45786 46020 57525 58700 69266 76310 76700 88050 91572 103899 114465 115050 138532 152620 173165 176100 190775 207798 228930 230100 346330 381550 415596 450229 457860 519495 572325 692660 763100 865825 900458 1038990 1144650 1350687 1731650 1800916 2077980 2251145 2289300 2597475 2701374 3463300 4502290 5194950 5402748 6753435 9004580 10389900 11255725 13506870 22511450 27013740 33767175 45022900 67534350 135068700