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134590365 = 325713231429
BaseRepresentation
bin10000000010110…
…10111110011101
3100101020220021100
420001122332131
5233423342430
621204423313
73222666510
oct1001327635
9311226240
10134590365
1169a77808
12390a7b39
1321b64c90
1413c36d77
15bc38960
hex805af9d

134590365 has 96 divisors (see below), whose sum is σ = 299819520. Its totient is φ = 54286848.

The previous prime is 134590361. The next prime is 134590403. The reversal of 134590365 is 563095431.

134590365 is a `hidden beast` number, since 1 + 3 + 4 + 590 + 3 + 65 = 666.

134590365 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 134590365 - 22 = 134590361 is a prime.

It is a super-2 number, since 2×1345903652 = 36229132701666450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134590361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93471 + ... + 94899.

It is an arithmetic number, because the mean of its divisors is an integer number (3123120).

Almost surely, 2134590365 is an apocalyptic number.

134590365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134590365 is an abundant number, since it is smaller than the sum of its proper divisors (165229155).

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

134590365 is a wasteful number, since it uses less digits than its factorization.

134590365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 134590365 is about 11601.3087623768. The cubic root of 134590365 is about 512.4733946133.

The spelling of 134590365 in words is "one hundred thirty-four million, five hundred ninety thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 23 35 39 45 63 65 69 91 105 115 117 161 195 207 273 299 315 345 455 483 585 805 819 897 1035 1365 1429 1449 1495 2093 2415 2691 4095 4287 4485 6279 7145 7245 10003 10465 12861 13455 18577 18837 21435 30009 31395 32867 50015 55731 64305 90027 92885 94185 98601 130039 150045 164335 167193 230069 278655 295803 390117 427271 450135 493005 650195 690207 835965 1150345 1170351 1281813 1479015 1950585 2070621 2136355 2990897 3451035 3845439 5851755 6409065 8972691 10353105 14954485 19227195 26918073 44863455 134590365