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135142553 = 7131499967
BaseRepresentation
bin10000000111000…
…01110010011001
3100102021221201202
420003201302121
5234044030203
621224323545
73230456420
oct1003416231
9312257652
10135142553
116a314667
12393135b5
1321cc9410
1413d3c2b7
15bce7388
hex80e1c99

135142553 has 16 divisors (see below), whose sum is σ = 167462400. Its totient is φ = 106197696.

The previous prime is 135142529. The next prime is 135142561. The reversal of 135142553 is 355241531.

It is a cyclic number.

It is not a de Polignac number, because 135142553 - 28 = 135142297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135142453) 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 15 ways as a sum of consecutive naturals, for example, 8576 + ... + 18542.

It is an arithmetic number, because the mean of its divisors is an integer number (10466400).

Almost surely, 2135142553 is an apocalyptic number.

135142553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

135142553 is a deficient number, since it is larger than the sum of its proper divisors (32319847).

135142553 is a wasteful number, since it uses less digits than its factorization.

135142553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136.

The product of its digits is 9000, while the sum is 29.

The square root of 135142553 is about 11625.0829244354. The cubic root of 135142553 is about 513.1732850781.

The spelling of 135142553 in words is "one hundred thirty-five million, one hundred forty-two thousand, five hundred fifty-three".

Divisors: 1 7 13 91 149 1043 1937 9967 13559 69769 129571 906997 1485083 10395581 19306079 135142553