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134251520 = 2105132017
BaseRepresentation
bin10000000000010…
…00010000000000
3100100121200110112
420000020100000
5233332022040
621153250452
73220055564
oct1000102000
9310550415
10134251520
1169866177
1238b63a28
1321a76990
1413b896a4
15bbbd365
hex8008400

134251520 has 88 divisors (see below), whose sum is σ = 346991064. Its totient is φ = 49545216.

The previous prime is 134251471. The next prime is 134251531. The reversal of 134251520 is 25152431.

It can be written as a sum of positive squares in 4 ways, for example, as 13075456 + 121176064 = 3616^2 + 11008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65552 + ... + 67568.

Almost surely, 2134251520 is an apocalyptic number.

134251520 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 134251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173495532).

134251520 is an abundant number, since it is smaller than the sum of its proper divisors (212739544).

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

134251520 is a wasteful number, since it uses less digits than its factorization.

134251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 134251520 is about 11586.6958189123. The cubic root of 134251520 is about 512.0429651444.

The spelling of 134251520 in words is "one hundred thirty-four million, two hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2017 2080 2560 3328 4034 4160 5120 6656 8068 8320 10085 13312 16136 16640 20170 26221 32272 33280 40340 52442 64544 66560 80680 104884 129088 131105 161360 209768 258176 262210 322720 419536 516352 524420 645440 839072 1032704 1048840 1290880 1678144 2065408 2097680 2581760 3356288 4195360 5163520 6712576 8390720 10327040 13425152 16781440 26850304 33562880 67125760 134251520