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134312960 = 210537709
BaseRepresentation
bin10000000000101…
…11010000000000
3100100201210202002
420000113100000
5233341003320
621154443132
73220432655
oct1000272000
9310653662
10134312960
11698a8351
1238b934a8
1321a98932
1413ba3c2c
15bbd1675
hex8017400

134312960 has 88 divisors (see below), whose sum is σ = 331368360. Its totient is φ = 52199424.

The previous prime is 134312953. The next prime is 134312963. The reversal of 134312960 is 69213431.

It can be written as a sum of positive squares in 4 ways, for example, as 15241216 + 119071744 = 3904^2 + 10912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134312963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189086 + ... + 189794.

Almost surely, 2134312960 is an apocalyptic number.

134312960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165684180).

134312960 is an abundant number, since it is smaller than the sum of its proper divisors (197055400).

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

134312960 is an equidigital number, since it uses as much as digits as its factorization.

134312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 134312960 is about 11589.3468323284. The cubic root of 134312960 is about 512.1210651213.

The spelling of 134312960 in words is "one hundred thirty-four million, three hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 709 740 1024 1184 1280 1418 1480 2368 2560 2836 2960 3545 4736 5120 5672 5920 7090 9472 11344 11840 14180 18944 22688 23680 26233 28360 37888 45376 47360 52466 56720 90752 94720 104932 113440 131165 181504 189440 209864 226880 262330 363008 419728 453760 524660 726016 839456 907520 1049320 1678912 1815040 2098640 3357824 3630080 4197280 6715648 8394560 13431296 16789120 26862592 33578240 67156480 134312960