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134000400 = 24352111667
BaseRepresentation
bin1111111110010…
…10111100010000
3100100010220222210
413333022330100
5233301003100
621144032120
73214661502
oct777127420
9310126883
10134000400
1169704536
1238a62640
13219b95a1
1413b21d72
15bb6dc50
hex7fcaf10

134000400 has 60 divisors (see below), whose sum is σ = 429251792. Its totient is φ = 35733120.

The previous prime is 134000393. The next prime is 134000411. The reversal of 134000400 is 4000431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1340004002 = 35912214400320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54634 + ... + 57033.

Almost surely, 2134000400 is an apocalyptic number.

134000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134000400 is an abundant number, since it is smaller than the sum of its proper divisors (295251392).

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

134000400 is a wasteful number, since it uses less digits than its factorization.

134000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111688 (or 111677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 134000400 is about 11575.8541801458. The cubic root of 134000400 is about 511.7235038678.

Adding to 134000400 its reverse (4000431), we get a palindrome (138000831).

The spelling of 134000400 in words is "one hundred thirty-four million, four hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 111667 223334 335001 446668 558335 670002 893336 1116670 1340004 1675005 1786672 2233340 2680008 2791675 3350010 4466680 5360016 5583350 6700020 8375025 8933360 11166700 13400040 16750050 22333400 26800080 33500100 44666800 67000200 134000400