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135134340 = 223511204749
BaseRepresentation
bin10000000110111…
…11110010000100
3100102021112110120
420003133302010
5234043244330
621224221540
73230423445
oct1003376204
9312245416
10135134340
116a309480
123930a8b0
1321cc5763
1413d392cc
15bce4c10
hex80dfc84

135134340 has 48 divisors (see below), whose sum is σ = 412776000. Its totient is φ = 32759680.

The previous prime is 135134303. The next prime is 135134347. The reversal of 135134340 is 43431531.

It is a happy number.

It is a super-2 number, since 2×1351343402 = 36522579694471200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135134340.

It is not an unprimeable number, because it can be changed into a prime (135134347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101715 + ... + 103034.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2135134340 is an apocalyptic number.

135134340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135134340 is an abundant number, since it is smaller than the sum of its proper divisors (277641660).

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

135134340 is a wasteful number, since it uses less digits than its factorization.

135134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204772 (or 204770 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135134340 is about 11624.7296742763. The cubic root of 135134340 is about 513.1628891974.

Adding to 135134340 its reverse (43431531), we get a palindrome (178565871).

The spelling of 135134340 in words is "one hundred thirty-five million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 204749 409498 614247 818996 1023745 1228494 2047490 2252239 2456988 3071235 4094980 4504478 6142470 6756717 9008956 11261195 12284940 13513434 22522390 27026868 33783585 45044780 67567170 135134340