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135124420 = 22531721313
BaseRepresentation
bin10000000110111…
…01010111000100
3100102021000212011
420003131113010
5234042440140
621224104004
73230352514
oct1003352704
9312230764
10135124420
116a301a82
1239305004
1321cc10a2
1413d35844
15bce1cea
hex80dd5c4

135124420 has 24 divisors (see below), whose sum is σ = 284669784. Its totient is φ = 53876736.

The previous prime is 135124417. The next prime is 135124421. The reversal of 135124420 is 24421531.

It can be written as a sum of positive squares in 4 ways, for example, as 749956 + 134374464 = 866^2 + 11592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135124391 and 135124400.

It is not an unprimeable number, because it can be changed into a prime (135124421) 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, 4317 + ... + 16996.

It is an arithmetic number, because the mean of its divisors is an integer number (11861241).

Almost surely, 2135124420 is an apocalyptic number.

135124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135124420 is an abundant number, since it is smaller than the sum of its proper divisors (149545364).

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

135124420 is a wasteful number, since it uses less digits than its factorization.

135124420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21637 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 135124420 is about 11624.3029898571. The cubic root of 135124420 is about 513.1503320624.

Adding to 135124420 its reverse (24421531), we get a palindrome (159545951).

The spelling of 135124420 in words is "one hundred thirty-five million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 317 634 1268 1585 3170 6340 21313 42626 85252 106565 213130 426260 6756221 13512442 27024884 33781105 67562210 135124420