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135020340 = 223257138243
BaseRepresentation
bin10000000110000…
…11111100110100
3100102001202002100
420003003330310
5234031122330
621221542100
73226440210
oct1003037464
9312052070
10135020340
116a240864
1239274930
1321c858c0
1413d09940
15bcc1060
hex80c3f34

135020340 has 144 divisors (see below), whose sum is σ = 504137088. Its totient is φ = 28484352.

The previous prime is 135020323. The next prime is 135020351. The reversal of 135020340 is 43020531.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12259 + ... + 20501.

It is an arithmetic number, because the mean of its divisors is an integer number (3500952).

Almost surely, 2135020340 is an apocalyptic number.

135020340 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 135020340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252068544).

135020340 is an abundant number, since it is smaller than the sum of its proper divisors (369116748).

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

135020340 is a wasteful number, since it uses less digits than its factorization.

135020340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135020340 is about 11619.8252998916. The cubic root of 135020340 is about 513.0185463468.

Adding to 135020340 its reverse (43020531), we get a palindrome (178040871).

The spelling of 135020340 in words is "one hundred thirty-five million, twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 8243 16380 16486 24729 32972 41215 49458 57701 74187 82430 98916 107159 115402 123645 148374 164860 173103 214318 230804 247290 288505 296748 321477 346206 370935 428636 494580 519309 535795 577010 642954 692412 741870 750113 865515 964431 1038618 1071590 1154020 1285908 1483740 1500226 1607385 1731030 1928862 2077236 2143180 2250339 2596545 3000452 3214770 3462060 3750565 3857724 4500678 4822155 5193090 6429540 6751017 7501130 9001356 9644310 10386180 11251695 13502034 15002260 19288620 22503390 27004068 33755085 45006780 67510170 135020340