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135121420 = 2257319697
BaseRepresentation
bin10000000110111…
…00101000001100
3100102020212202001
420003130220030
5234042341140
621224042044
73230341000
oct1003345014
9312225661
10135121420
116a2aa7a5
1239303324
1321cbc905
1413d34700
15bce0e9a
hex80dca0c

135121420 has 48 divisors (see below), whose sum is σ = 330926400. Its totient is φ = 46324992.

The previous prime is 135121417. The next prime is 135121429. The reversal of 135121420 is 24121531.

It is a super-3 number, since 3×1351214203 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135121429) 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, 2989 + ... + 16708.

It is an arithmetic number, because the mean of its divisors is an integer number (6894300).

Almost surely, 2135121420 is an apocalyptic number.

135121420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135121420 is an abundant number, since it is smaller than the sum of its proper divisors (195804980).

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

135121420 is a wasteful number, since it uses less digits than its factorization.

135121420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19711 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 135121420 is about 11624.1739491458. The cubic root of 135121420 is about 513.1465344208.

Adding to 135121420 its reverse (24121531), we get a palindrome (159242951).

The spelling of 135121420 in words is "one hundred thirty-five million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 19697 39394 78788 98485 137879 196970 275758 393940 551516 689395 965153 1378790 1930306 2757580 3860612 4825765 6756071 9651530 13512142 19303060 27024284 33780355 67560710 135121420