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135147357 = 324128933
BaseRepresentation
bin10000000111000…
…10111101011101
3100102022012022200
420003202331131
5234044203412
621224402113
73230506422
oct1003427535
9312265280
10135147357
116a318234
1239316339
1321ccb667
1413d3dd49
15bce89dc
hex80e2f5d

135147357 has 18 divisors (see below), whose sum is σ = 200112666. Its totient is φ = 87890880.

The previous prime is 135147307. The next prime is 135147359. The reversal of 135147357 is 753741531.

135147357 is a `hidden beast` number, since 135 + 1 + 473 + 57 = 666.

135147357 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 11737476 + 123409881 = 3426^2 + 11109^2 .

It is not a de Polignac number, because 135147357 - 220 = 134098781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135147359) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10663 + ... + 19595.

Almost surely, 2135147357 is an apocalyptic number.

It is an amenable number.

135147357 is a deficient number, since it is larger than the sum of its proper divisors (64965309).

135147357 is an equidigital number, since it uses as much as digits as its factorization.

135147357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9021 (or 8977 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 135147357 is about 11625.2895447812. The cubic root of 135147357 is about 513.1793657072.

Adding to 135147357 its reverse (753741531), we get a palindrome (888888888).

The spelling of 135147357 in words is "one hundred thirty-five million, one hundred forty-seven thousand, three hundred fifty-seven".

Divisors: 1 3 9 41 123 369 1681 5043 8933 15129 26799 80397 366253 1098759 3296277 15016373 45049119 135147357