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134414112 = 25371391439
BaseRepresentation
bin10000000001011…
…11111100100000
3100100220221111110
420000233330200
5233402222422
621200543320
73221333610
oct1000577440
9310827443
10134414112
1169967348
1239021b40
1321b029a1
1413bcca40
15bc0160c
hex802ff20

134414112 has 96 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 38101248.

The previous prime is 134414099. The next prime is 134414123. The reversal of 134414112 is 211414431.

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 (21).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92689 + ... + 94127.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2134414112 is an apocalyptic number.

134414112 is a gapful number since it is divisible by the number (12) 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 134414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

134414112 is an abundant number, since it is smaller than the sum of its proper divisors (272011488).

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

134414112 is a wasteful number, since it uses less digits than its factorization.

134414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 134414112 is about 11593.7100187990. The cubic root of 134414112 is about 512.2495934759.

Adding to 134414112 its reverse (211414431), we get a palindrome (345828543).

The spelling of 134414112 in words is "one hundred thirty-four million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1439 1668 1946 2224 2878 2919 3336 3892 4317 4448 5756 5838 6672 7784 8634 10073 11512 11676 13344 15568 17268 20146 23024 23352 30219 31136 34536 40292 46048 46704 60438 69072 80584 93408 120876 138144 161168 200021 241752 322336 400042 483504 600063 800084 967008 1200126 1400147 1600168 2400252 2800294 3200336 4200441 4800504 5600588 6400672 8400882 9601008 11201176 16801764 19202016 22402352 33603528 44804704 67207056 134414112