Search a number
-
+
134133540 = 223519971213
BaseRepresentation
bin1111111111010…
…11011100100100
3100100101200121220
413333223130210
5233314233130
621150540340
73216054612
oct777533444
9310350556
10134133540
1169795572
1238b076b0
1321a35078
1413b586b2
15bb98410
hex7feb724

134133540 has 96 divisors (see below), whose sum is σ = 399745920. Its totient is φ = 33509376.

The previous prime is 134133523. The next prime is 134133541. The reversal of 134133540 is 45331431.

It is a happy number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 134133540.

It is not an unprimeable number, because it can be changed into a prime (134133541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109974 + ... + 111186.

It is an arithmetic number, because the mean of its divisors is an integer number (4164020).

Almost surely, 2134133540 is an apocalyptic number.

134133540 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 134133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199872960).

134133540 is an abundant number, since it is smaller than the sum of its proper divisors (265612380).

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

134133540 is a wasteful number, since it uses less digits than its factorization.

134133540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 134133540 is about 11581.6035159213. The cubic root of 134133540 is about 511.8929270319.

Adding to 134133540 its reverse (45331431), we get a palindrome (179464971).

The spelling of 134133540 in words is "one hundred thirty-four million, one hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 970 1140 1164 1213 1455 1843 1940 2426 2910 3639 3686 4852 5529 5820 6065 7278 7372 9215 11058 12130 14556 18195 18430 22116 23047 24260 27645 36390 36860 46094 55290 69141 72780 92188 110580 115235 117661 138282 230470 235322 276564 345705 352983 460940 470644 588305 691410 705966 1176610 1382820 1411932 1764915 2235559 2353220 3529830 4471118 6706677 7059660 8942236 11177795 13413354 22355590 26826708 33533385 44711180 67066770 134133540