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135134343040 = 275261780683
BaseRepresentation
bin111110111011010100…
…0100110111110000000
3110220210202002220012011
41331312220212332000
54203223342434130
6142025125542304
712522516651334
oct1756650467600
9426722086164
10135134343040
11523458a5044
1222234274994
13c98780c938
14677d33b7c4
1537ad9a552a
hex1f76a26f80

135134343040 has 64 divisors (see below), whose sum is σ = 323182989360. Its totient is φ = 54032412672.

The previous prime is 135134343011. The next prime is 135134343041. The reversal of 135134343040 is 40343431531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1351343430402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135134342993 and 135134343011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135134343041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634539 + ... + 1715221.

Almost surely, 2135134343040 is an apocalyptic number.

135134343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135134343040 is an abundant number, since it is smaller than the sum of its proper divisors (188048646320).

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

135134343040 is an equidigital number, since it uses as much as digits as its factorization.

135134343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83319 (or 83307 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 135134343040 its reverse (40343431531), we get a palindrome (175477774571).

The spelling of 135134343040 in words is "one hundred thirty-five billion, one hundred thirty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2617 5234 10468 13085 20936 26170 41872 52340 80683 83744 104680 161366 167488 209360 322732 334976 403415 418720 645464 806830 837440 1290928 1613660 1674880 2581856 3227320 5163712 6454640 10327424 12909280 25818560 51637120 211147411 422294822 844589644 1055737055 1689179288 2111474110 3378358576 4222948220 6756717152 8445896440 13513434304 16891792880 27026868608 33783585760 67567171520 135134343040