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132151140 = 2232511312153
BaseRepresentation
bin1111110000001…
…11011101100100
3100012122222021200
413320013131210
5232312314030
621040242500
73163160202
oct770073544
9305588250
10132151140
1168661120
1238310430
13214bc954
14137a0072
15b905d60
hex7e07764

132151140 has 144 divisors (see below), whose sum is σ = 451616256. Its totient is φ = 30988800.

The previous prime is 132151079. The next prime is 132151141. The reversal of 132151140 is 41151231.

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

It is not an unprimeable number, because it can be changed into a prime (132151141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60304 + ... + 62456.

It is an arithmetic number, because the mean of its divisors is an integer number (3136224).

Almost surely, 2132151140 is an apocalyptic number.

132151140 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 132151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225808128).

132151140 is an abundant number, since it is smaller than the sum of its proper divisors (319465116).

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

132151140 is a wasteful number, since it uses less digits than its factorization.

132151140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 132151140 is about 11495.7009355672. The cubic root of 132151140 is about 509.3585938987.

Subtracting from 132151140 its reverse (41151231), we obtain a palindrome (90999909).

The spelling of 132151140 in words is "one hundred thirty-two million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2153 2790 3069 3410 4092 4306 5115 5580 6138 6459 6820 8612 10230 10765 12276 12918 15345 19377 20460 21530 23683 25836 30690 32295 38754 43060 47366 61380 64590 66743 71049 77508 94732 96885 118415 129180 133486 142098 193770 200229 213147 236830 266972 284196 333715 355245 387540 400458 426294 473660 600687 667430 710490 734173 800916 852588 1001145 1065735 1201374 1334860 1420980 1468346 2002290 2131470 2202519 2402748 2936692 3003435 3670865 4004580 4262940 4405038 6006870 6607557 7341730 8810076 11012595 12013740 13215114 14683460 22025190 26430228 33037785 44050380 66075570 132151140