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134297184 = 2537238689
BaseRepresentation
bin10000000000100…
…11011001100000
3100100201000002210
420000103121200
5233340002214
621154242120
73220335660
oct1000233140
9310630083
10134297184
116989750a
1238b86340
1321a916b8
1413b9c1a0
15bbcbb59
hex8013660

134297184 has 96 divisors (see below), whose sum is σ = 420456960. Its totient is φ = 36698112.

The previous prime is 134297159. The next prime is 134297197. The reversal of 134297184 is 481792431.

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

It is a congruent number.

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, 11112 + ... + 19800.

It is an arithmetic number, because the mean of its divisors is an integer number (4379760).

Almost surely, 2134297184 is an apocalyptic number.

134297184 is a gapful number since it is divisible by the number (14) 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 134297184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210228480).

134297184 is an abundant number, since it is smaller than the sum of its proper divisors (286159776).

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

134297184 is a wasteful number, since it uses less digits than its factorization.

134297184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8724 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 134297184 is about 11588.6661872711. Note that the first 3 decimals coincide. The cubic root of 134297184 is about 512.1010135981.

The spelling of 134297184 in words is "one hundred thirty-four million, two hundred ninety-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 8689 15456 17378 26067 34756 52134 60823 69512 104268 121646 139024 182469 199847 208536 243292 278048 364938 399694 417072 486584 599541 729876 799388 834144 973168 1199082 1398929 1459752 1598776 1946336 2398164 2797858 2919504 3197552 4196787 4796328 5595716 5839008 6395104 8393574 9592656 11191432 16787148 19185312 22382864 33574296 44765728 67148592 134297184