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135187637 = 1312138573
BaseRepresentation
bin10000000111011…
…00110010110101
3100102101020120112
420003230302311
5234102001022
621225312405
73231035024
oct1003546265
9312336515
10135187637
116a345522
1239335705
1322013ab0
1413d508bb
15bd058e2
hex80eccb5

135187637 has 8 divisors (see below), whose sum is σ = 145723704. Its totient is φ = 124671168.

The previous prime is 135187609. The next prime is 135187649. The reversal of 135187637 is 736781531.

It can be written as a sum of positive squares in 4 ways, for example, as 4519876 + 130667761 = 2126^2 + 11431^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135187637 - 210 = 135186613 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135187594 and 135187603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135187037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11483 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (18215463).

Almost surely, 2135187637 is an apocalyptic number.

It is an amenable number.

135187637 is a deficient number, since it is larger than the sum of its proper divisors (10536067).

135187637 is a wasteful number, since it uses less digits than its factorization.

135187637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9799.

The product of its digits is 105840, while the sum is 41.

The square root of 135187637 is about 11627.0218456834. The cubic root of 135187637 is about 513.2303441652.

It can be divided in two parts, 1351 and 87637, that added together give a palindrome (88988).

The spelling of 135187637 in words is "one hundred thirty-five million, one hundred eighty-seven thousand, six hundred thirty-seven".

Divisors: 1 13 1213 8573 15769 111449 10399049 135187637