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135145476 = 223310312149
BaseRepresentation
bin10000000111000…
…10100000000100
3100102022002202000
420003202200010
5234044123401
621224345300
73230501064
oct1003424004
9312262660
10135145476
116a316884
1239315230
1321cca84b
1413d3d3a4
15bce8186
hex80e2804

135145476 has 48 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 44607456.

The previous prime is 135145457. The next prime is 135145487. The reversal of 135145476 is 674541531.

135145476 is a `hidden beast` number, since 135 + 1 + 454 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135145476.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5050 + ... + 17198.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2135145476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135145476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

135145476 is an abundant number, since it is smaller than the sum of its proper divisors (218662524).

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

135145476 is a wasteful number, since it uses less digits than its factorization.

135145476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12265 (or 12257 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 135145476 is about 11625.2086432889. The cubic root of 135145476 is about 513.1769848619.

The spelling of 135145476 in words is "one hundred thirty-five million, one hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 1236 1854 2781 3708 5562 11124 12149 24298 36447 48596 72894 109341 145788 218682 328023 437364 656046 1251347 1312092 2502694 3754041 5005388 7508082 11262123 15016164 22524246 33786369 45048492 67572738 135145476