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135048369 = 3312139337
BaseRepresentation
bin10000000110010…
…10110010110001
3100102010011112110
420003022302301
5234033021434
621222315533
73226615011
oct1003126261
9312104473
10135048369
116a25a925
1239288ba9
1321c955a1
1413d15c41
15bcc94e9
hex80cacb1

135048369 has 24 divisors (see below), whose sum is σ = 187955040. Its totient is φ = 86244480.

The previous prime is 135048359. The next prime is 135048373. The reversal of 135048369 is 963840531.

It is not a de Polignac number, because 135048369 - 27 = 135048241 is a prime.

It is a super-2 number, since 2×1350483692 = 36476123939120322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135048359) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 400569 + ... + 400905.

It is an arithmetic number, because the mean of its divisors is an integer number (7831460).

Almost surely, 2135048369 is an apocalyptic number.

It is an amenable number.

135048369 is a deficient number, since it is larger than the sum of its proper divisors (52906671).

135048369 is a wasteful number, since it uses less digits than its factorization.

135048369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 135048369 is about 11621.0313225634. The cubic root of 135048369 is about 513.0540432256.

The spelling of 135048369 in words is "one hundred thirty-five million, forty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 31 93 139 337 417 961 1011 2883 4309 10447 12927 31341 46843 133579 140529 323857 400737 971571 1452133 4356399 45016123 135048369