Search a number
-
+
132140160 = 273452549
BaseRepresentation
bin1111110000001…
…00110010000000
3100012122102020000
413320010302000
5232311441120
621040120000
73163113165
oct770046200
9305572200
10132140160
1168653949
1238306000
13214b7959
141379a06c
15b902990
hex7e04c80

132140160 has 160 divisors (see below), whose sum is σ = 472081500. Its totient is φ = 35223552.

The previous prime is 132140143. The next prime is 132140207. The reversal of 132140160 is 61041231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127780416 + 4359744 = 11304^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1321401602 = 34922043769651200, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 50566 + ... + 53114.

Almost surely, 2132140160 is an apocalyptic number.

132140160 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 132140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236040750).

132140160 is an abundant number, since it is smaller than the sum of its proper divisors (339941340).

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

132140160 is an equidigital number, since it uses as much as digits as its factorization.

132140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2559 counting only the distinct ones).

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

The square root of 132140160 is about 11495.2233558118. The cubic root of 132140160 is about 509.3444865358.

Adding to 132140160 its reverse (61041231), we get a palindrome (193181391).

The spelling of 132140160 in words is "one hundred thirty-two million, one hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2549 2592 2880 3240 3456 4320 5098 5184 5760 6480 7647 8640 10196 10368 12745 12960 15294 17280 20392 22941 25490 25920 30588 38235 40784 45882 50980 51840 61176 68823 76470 81568 91764 101960 114705 122352 137646 152940 163136 183528 203920 206469 229410 244704 275292 305880 326272 344115 367056 407840 412938 458820 489408 550584 611760 688230 734112 815680 825876 917640 978816 1032345 1101168 1223520 1376460 1468224 1631360 1651752 1835280 2064690 2202336 2447040 2752920 2936448 3303504 3670560 4129380 4404672 4894080 5505840 6607008 7341120 8258760 8809344 11011680 13214016 14682240 16517520 22023360 26428032 33035040 44046720 66070080 132140160