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135225420 = 223511204887
BaseRepresentation
bin10000000111101…
…10000001001100
3100102110011101220
420003312001030
5234104203140
621230203340
73231253131
oct1003660114
9312404356
10135225420
116a370950
1239353550
1322028055
1413d60588
15bd11bd0
hex80f604c

135225420 has 48 divisors (see below), whose sum is σ = 413054208. Its totient is φ = 32781760.

The previous prime is 135225403. The next prime is 135225437. The reversal of 135225420 is 24522531.

It is an interprime number because it is at equal distance from previous prime (135225403) and next prime (135225437).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101784 + ... + 103103.

It is an arithmetic number, because the mean of its divisors is an integer number (8605296).

Almost surely, 2135225420 is an apocalyptic number.

135225420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135225420 is an abundant number, since it is smaller than the sum of its proper divisors (277828788).

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

135225420 is a wasteful number, since it uses less digits than its factorization.

135225420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204910 (or 204908 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135225420 is about 11628.6465248540. The cubic root of 135225420 is about 513.2781532111.

Adding to 135225420 its reverse (24522531), we get a palindrome (159747951).

It can be divided in two parts, 1 and 35225420, that added together give a triangular number (35225421 = T8393).

The spelling of 135225420 in words is "one hundred thirty-five million, two hundred twenty-five thousand, four hundred twenty".

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 204887 409774 614661 819548 1024435 1229322 2048870 2253757 2458644 3073305 4097740 4507514 6146610 6761271 9015028 11268785 12293220 13522542 22537570 27045084 33806355 45075140 67612710 135225420