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134201160 = 233251632287
BaseRepresentation
bin1111111111110…
…11111101001000
3100100112010101100
413333323331020
5233323414120
621152221400
73216456012
oct777737510
9310463340
10134201160
1169831355
1238b3a860
1321a59a92
1413b751b2
15bbad490
hex7ffbf48

134201160 has 96 divisors (see below), whose sum is σ = 439021440. Its totient is φ = 35551872.

The previous prime is 134201153. The next prime is 134201189. The reversal of 134201160 is 61102431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57537 + ... + 59823.

It is an arithmetic number, because the mean of its divisors is an integer number (4573140).

Almost surely, 2134201160 is an apocalyptic number.

134201160 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 134201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219510720).

134201160 is an abundant number, since it is smaller than the sum of its proper divisors (304820280).

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

134201160 is a wasteful number, since it uses less digits than its factorization.

134201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 134201160 is about 11584.5224329706. The cubic root of 134201160 is about 511.9789318317.

Adding to 134201160 its reverse (61102431), we get a palindrome (195303591).

The spelling of 134201160 in words is "one hundred thirty-four million, two hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 163 180 326 360 489 652 815 978 1304 1467 1630 1956 2287 2445 2934 3260 3912 4574 4890 5868 6520 6861 7335 9148 9780 11435 11736 13722 14670 18296 19560 20583 22870 27444 29340 34305 41166 45740 54888 58680 68610 82332 91480 102915 137220 164664 205830 274440 372781 411660 745562 823320 1118343 1491124 1863905 2236686 2982248 3355029 3727810 4473372 5591715 6710058 7455620 8946744 11183430 13420116 14911240 16775145 22366860 26840232 33550290 44733720 67100580 134201160