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134414000 = 245379601
BaseRepresentation
bin10000000001011…
…11111010110000
3100100220221100022
420000233322300
5233402222000
621200543012
73221333360
oct1000577260
9310827308
10134414000
1169967256
1239021a68
1321b02916
1413bcc9a0
15bc01585
hex802feb0

134414000 has 80 divisors (see below), whose sum is σ = 371482176. Its totient is φ = 46080000.

The previous prime is 134413969. The next prime is 134414017. The reversal of 134414000 is 414431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 134414000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9200 + ... + 18800.

Almost surely, 2134414000 is an apocalyptic number.

134414000 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 134414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185741088).

134414000 is an abundant number, since it is smaller than the sum of its proper divisors (237068176).

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

134414000 is an equidigital number, since it uses as much as digits as its factorization.

134414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9631 (or 9615 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 134414000 is about 11593.7051885926. The cubic root of 134414000 is about 512.2494511992.

Adding to 134414000 its reverse (414431), we get a palindrome (134828431).

The spelling of 134414000 in words is "one hundred thirty-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 9601 14000 19202 38404 48005 67207 76808 96010 134414 153616 192020 240025 268828 336035 384040 480050 537656 672070 768080 960100 1075312 1200125 1344140 1680175 1920200 2400250 2688280 3360350 3840400 4800500 5376560 6720700 8400875 9601000 13441400 16801750 19202000 26882800 33603500 67207000 134414000