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134213985 = 32537149541
BaseRepresentation
bin1111111111111…
…11000101100001
3100100112202222100
413333333011201
5233324321420
621152401013
73216541263
oct777770541
9310482870
10134213985
116983aa54
1238b46169
1321a62879
1413b79b33
15bbb2190
hex7fff161

134213985 has 48 divisors (see below), whose sum is σ = 240973200. Its totient is φ = 69050880.

The previous prime is 134213983. The next prime is 134214007. The reversal of 134213985 is 589312431.

It can be written as a sum of positive squares in 8 ways, for example, as 1710864 + 132503121 = 1308^2 + 11511^2 .

It is not a de Polignac number, because 134213985 - 21 = 134213983 is a prime.

It is a super-3 number, since 3×1342139853 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (134213983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247815 + ... + 248355.

It is an arithmetic number, because the mean of its divisors is an integer number (5020275).

Almost surely, 2134213985 is an apocalyptic number.

134213985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134213985 is a deficient number, since it is larger than the sum of its proper divisors (106759215).

134213985 is a wasteful number, since it uses less digits than its factorization.

134213985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 735 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 134213985 is about 11585.0759600445. The cubic root of 134213985 is about 511.9952404851.

The spelling of 134213985 in words is "one hundred thirty-four million, two hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 37 45 111 149 185 333 447 541 555 745 1341 1623 1665 2235 2705 4869 5513 6705 8115 16539 20017 24345 27565 49617 60051 80609 82695 100085 180153 241827 248085 300255 403045 725481 900765 1209135 2982533 3627405 8947599 14912665 26842797 44737995 134213985