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132144210 = 23451114831
BaseRepresentation
bin1111110000001…
…01110001010010
3100012122121210000
413320011301102
5232312103320
621040150430
73163131042
oct770056122
9305577700
10132144210
11686569a0
1238308416
13214b9753
141379b722
15b903c90
hex7e05c52

132144210 has 80 divisors (see below), whose sum is σ = 387649152. Its totient is φ = 32032800.

The previous prime is 132144209. The next prime is 132144253. The reversal of 132144210 is 12441231.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1495 + ... + 16325.

Almost surely, 2132144210 is an apocalyptic number.

132144210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132144210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193824576).

132144210 is an abundant number, since it is smaller than the sum of its proper divisors (255504942).

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

132144210 is a wasteful number, since it uses less digits than its factorization.

132144210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14861 (or 14852 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 132144210 is about 11495.3995145884. The cubic root of 132144210 is about 509.3496901623.

Adding to 132144210 its reverse (12441231), we get a palindrome (144585441).

It can be divided in two parts, 13214 and 4210, that added together give a square (17424 = 1322).

The spelling of 132144210 in words is "one hundred thirty-two million, one hundred forty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 14831 29662 44493 74155 88986 133479 148310 163141 222465 266958 326282 400437 444930 489423 667395 800874 815705 978846 1201311 1334790 1468269 1631410 2002185 2402622 2447115 2936538 4004370 4404807 4894230 6006555 7341345 8809614 12013110 13214421 14682690 22024035 26428842 44048070 66072105 132144210