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134251680 = 2535389719
BaseRepresentation
bin10000000000010…
…00010010100000
3100100121200200110
420000020102200
5233332023210
621153251320
73220056213
oct1000102240
9310550613
10134251680
1169866302
1238b63b40
1321a76a84
1413b8977a
15bbbd420
hex80084a0

134251680 has 96 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 35658752.

The previous prime is 134251661. The next prime is 134251687. The reversal of 134251680 is 86152431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134251687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186361 + ... + 187079.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2134251680 is an apocalyptic number.

134251680 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 134251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

134251680 is an abundant number, since it is smaller than the sum of its proper divisors (290317920).

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

134251680 is a wasteful number, since it uses less digits than its factorization.

134251680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 134251680 is about 11586.7027233808. The cubic root of 134251680 is about 512.0431685607.

The spelling of 134251680 in words is "one hundred thirty-four million, two hundred fifty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 389 480 719 778 1167 1438 1556 1945 2157 2334 2876 3112 3595 3890 4314 4668 5752 5835 6224 7190 7780 8628 9336 10785 11504 11670 12448 14380 15560 17256 18672 21570 23008 23340 28760 31120 34512 37344 43140 46680 57520 62240 69024 86280 93360 115040 172560 186720 279691 345120 559382 839073 1118764 1398455 1678146 2237528 2796910 3356292 4195365 4475056 5593820 6712584 8390730 8950112 11187640 13425168 16781460 22375280 26850336 33562920 44750560 67125840 134251680