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134525313 = 3313612103
BaseRepresentation
bin10000000010010…
…11000110000001
3100101010121001000
420001023012001
5233414302223
621203202213
73222306036
oct1001130601
9311117030
10134525313
1169a3294a
1239076369
1321b414a0
1413c1b38d
15bc24543
hex804b181

134525313 has 48 divisors (see below), whose sum is σ = 220321920. Its totient is φ = 80637120.

The previous prime is 134525309. The next prime is 134525317. The reversal of 134525313 is 313525431.

134525313 is a `hidden beast` number, since 1 + 345 + 2 + 5 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (134525309) and next prime (134525317).

It is not a de Polignac number, because 134525313 - 22 = 134525309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5400) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134525317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306020 + ... + 1306122.

It is an arithmetic number, because the mean of its divisors is an integer number (4590040).

Almost surely, 2134525313 is an apocalyptic number.

134525313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

134525313 is a deficient number, since it is larger than the sum of its proper divisors (85796607).

134525313 is a wasteful number, since it uses less digits than its factorization.

134525313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 180 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 134525313 is about 11598.5047743233. The cubic root of 134525313 is about 512.3908161619.

The spelling of 134525313 in words is "one hundred thirty-four million, five hundred twenty-five thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 61 103 117 183 309 351 549 793 927 1339 1647 2379 2781 3721 4017 6283 7137 11163 12051 18849 21411 33489 36153 48373 56547 81679 100467 145119 169641 245037 383263 435357 735111 1149789 1306071 2205333 3449367 4982419 10348101 14947257 44841771 134525313