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132141120 = 2635592333
BaseRepresentation
bin1111110000001…
…01000001000000
3100012122110112120
413320011001000
5232312003440
621040124240
73163116036
oct770050100
9305573476
10132141120
1168654641
1238306680
13214b8217
141379a556
15b902dd0
hex7e05040

132141120 has 112 divisors (see below), whose sum is σ = 426841920. Its totient is φ = 34625536.

The previous prime is 132141083. The next prime is 132141131. The reversal of 132141120 is 21141231.

It is a super-2 number, since 2×1321411202 = 34922551189708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132141120.

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, 55474 + ... + 57806.

Almost surely, 2132141120 is an apocalyptic number.

132141120 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 132141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213420960).

132141120 is an abundant number, since it is smaller than the sum of its proper divisors (294700800).

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

132141120 is a wasteful number, since it uses less digits than its factorization.

132141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 132141120 is about 11495.2651122103. The cubic root of 132141120 is about 509.3457199976.

Adding to 132141120 its reverse (21141231), we get a palindrome (153282351).

The spelling of 132141120 in words is "one hundred thirty-two million, one hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 160 177 192 236 240 295 320 354 472 480 590 708 885 944 960 1180 1416 1770 1888 2333 2360 2832 3540 3776 4666 4720 5664 6999 7080 9332 9440 11328 11665 13998 14160 18664 18880 23330 27996 28320 34995 37328 46660 55992 56640 69990 74656 93320 111984 137647 139980 149312 186640 223968 275294 279960 373280 412941 447936 550588 559920 688235 746560 825882 1101176 1119840 1376470 1651764 2064705 2202352 2239680 2752940 3303528 4129410 4404704 5505880 6607056 8258820 8809408 11011760 13214112 16517640 22023520 26428224 33035280 44047040 66070560 132141120