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135152441 = 2941197577
BaseRepresentation
bin10000000111001…
…00001100111001
3100102022110021222
420003210030321
5234044334231
621224441425
73230530304
oct1003441471
9312273258
10135152441
116a321036
1239319275
1322000a78
1413d41b3b
15bcea27b
hex80e4339

135152441 has 16 divisors (see below), whose sum is σ = 144199440. Its totient is φ = 126443520.

The previous prime is 135152429. The next prime is 135152471. The reversal of 135152441 is 144251531.

It can be written as a sum of positive squares in 8 ways, for example, as 20748025 + 114404416 = 4555^2 + 10696^2 .

It is a cyclic number.

It is not a de Polignac number, because 135152441 - 218 = 134890297 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135152441.

It is not an unprimeable number, because it can be changed into a prime (135152411) 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, 233945 + ... + 234521.

It is an arithmetic number, because the mean of its divisors is an integer number (9012465).

Almost surely, 2135152441 is an apocalyptic number.

It is an amenable number.

135152441 is a deficient number, since it is larger than the sum of its proper divisors (9046999).

135152441 is a wasteful number, since it uses less digits than its factorization.

135152441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844.

The product of its digits is 2400, while the sum is 26.

The square root of 135152441 is about 11625.5082039453. The cubic root of 135152441 is about 513.1858005875.

The spelling of 135152441 in words is "one hundred thirty-five million, one hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 29 41 197 577 1189 5713 8077 16733 23657 113669 234233 686053 3296401 4660429 135152441