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132141184 = 2771391061
BaseRepresentation
bin1111110000001…
…01000010000000
3100012122110121221
413320011002000
5232312004214
621040124424
73163116160
oct770050200
9305573557
10132141184
116865469a
1238306714
13214b8266
141379a5a0
15b902e24
hex7e05080

132141184 has 64 divisors (see below), whose sum is σ = 303307200. Its totient is φ = 56171520.

The previous prime is 132141173. The next prime is 132141199. The reversal of 132141184 is 481141231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1321411842 = 34922585017843712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124014 + ... + 125074.

It is an arithmetic number, because the mean of its divisors is an integer number (4739175).

Almost surely, 2132141184 is an apocalyptic number.

132141184 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 132141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151653600).

132141184 is an abundant number, since it is smaller than the sum of its proper divisors (171166016).

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

132141184 is a wasteful number, since it uses less digits than its factorization.

132141184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 132141184 is about 11495.2678959648. The cubic root of 132141184 is about 509.3458022282.

The spelling of 132141184 in words is "one hundred thirty-two million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 139 224 278 448 556 896 973 1061 1112 1946 2122 2224 3892 4244 4448 7427 7784 8488 8896 14854 15568 16976 17792 29708 31136 33952 59416 62272 67904 118832 124544 135808 147479 237664 294958 475328 589916 950656 1032353 1179832 2064706 2359664 4129412 4719328 8258824 9438656 16517648 18877312 33035296 66070592 132141184