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135147424 = 2529145633
BaseRepresentation
bin10000000111000…
…10111110100000
3100102022012102011
420003202332200
5234044204144
621224402304
73230506546
oct1003427640
9312265364
10135147424
116a318295
1239316394
1321ccb6b9
1413d3dd96
15bce8a34
hex80e2fa0

135147424 has 24 divisors (see below), whose sum is σ = 275248260. Its totient is φ = 65243136.

The previous prime is 135147373. The next prime is 135147443. The reversal of 135147424 is 424741531.

It can be written as a sum of positive squares in 2 ways, for example, as 126967824 + 8179600 = 11268^2 + 2860^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71889 + ... + 73744.

Almost surely, 2135147424 is an apocalyptic number.

It is an amenable number.

135147424 is an abundant number, since it is smaller than the sum of its proper divisors (140100836).

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

135147424 is a wasteful number, since it uses less digits than its factorization.

135147424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145672 (or 145664 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 135147424 is about 11625.2924264295. The cubic root of 135147424 is about 513.1794505110.

Adding to 135147424 its reverse (424741531), we get a palindrome (559888955).

The spelling of 135147424 in words is "one hundred thirty-five million, one hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 145633 291266 582532 1165064 2330128 4223357 4660256 8446714 16893428 33786856 67573712 135147424