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135626085 = 325717193143
BaseRepresentation
bin10000001010101…
…11110101100101
3100110012112000100
420011113311211
5234210013320
621242534313
73234542220
oct1005276545
9313175010
10135626085
116a614981
1239507399
132213852a
14140265b7
15bd90790
hex8157d65

135626085 has 192 divisors, whose sum is σ = 316293120. Its totient is φ = 52254720.

The previous prime is 135626063. The next prime is 135626087. The reversal of 135626085 is 580626531.

135626085 is a `hidden beast` number, since 13 + 562 + 6 + 0 + 85 = 666.

135626085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 135626085 - 26 = 135626021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135626087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3154074 + ... + 3154116.

It is an arithmetic number, because the mean of its divisors is an integer number (1647360).

Almost surely, 2135626085 is an apocalyptic number.

135626085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135626085 is an abundant number, since it is smaller than the sum of its proper divisors (180667035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135626085 is a wasteful number, since it uses less digits than its factorization.

135626085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 135626085 is about 11645.8612820177. The cubic root of 135626085 is about 513.7845910607.

The spelling of 135626085 in words is "one hundred thirty-five million, six hundred twenty-six thousand, eighty-five".