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132141884 = 22717192769
BaseRepresentation
bin1111110000001…
…01001100111100
3100012122111120212
413320011030330
5232312020014
621040131552
73163121210
oct770051474
9305574525
10132141884
1168655176
1238306bb8
13214b8684
141379a940
15b90323e
hex7e0533c

132141884 has 72 divisors (see below), whose sum is σ = 295716960. Its totient is φ = 50429952.

The previous prime is 132141883. The next prime is 132141913. The reversal of 132141884 is 488141231.

It is a happy number.

It is a super-2 number, since 2×1321418842 = 34922955014138912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132141884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171452 + ... + 172220.

It is an arithmetic number, because the mean of its divisors is an integer number (4107180).

Almost surely, 2132141884 is an apocalyptic number.

132141884 is a gapful number since it is divisible by the number (14) 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 132141884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147858480).

132141884 is an abundant number, since it is smaller than the sum of its proper divisors (163575076).

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

132141884 is a wasteful number, since it uses less digits than its factorization.

132141884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 814 counting only the distinct ones).

The product of its digits is 6144, while the sum is 32.

The square root of 132141884 is about 11495.2983432358. The cubic root of 132141884 is about 509.3467016234.

The spelling of 132141884 in words is "one hundred thirty-two million, one hundred forty-one thousand, eight hundred eighty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 323 361 476 532 646 722 769 1292 1444 1538 2261 2527 3076 4522 5054 5383 6137 9044 10108 10766 12274 13073 14611 21532 24548 26146 29222 42959 52292 58444 85918 91511 102277 171836 183022 204554 248387 277609 366044 409108 496774 555218 993548 1110436 1738709 1943263 3477418 3886526 4719353 6954836 7773052 9438706 18877412 33035471 66070942 132141884