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132144225 = 3522237901
BaseRepresentation
bin1111110000001…
…01110001100001
3100012122121210120
413320011301201
5232312103400
621040150453
73163131063
oct770056141
9305577716
10132144225
1168656a04
1238308429
13214b9765
141379b733
15b903ca0
hex7e05c61

132144225 has 24 divisors (see below), whose sum is σ = 219485952. Its totient is φ = 70152000.

The previous prime is 132144209. The next prime is 132144253. The reversal of 132144225 is 522441231.

It is not a de Polignac number, because 132144225 - 24 = 132144209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132144195 and 132144204.

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 23 ways as a sum of consecutive naturals, for example, 12775 + ... + 20675.

It is an arithmetic number, because the mean of its divisors is an integer number (9145248).

Almost surely, 2132144225 is an apocalyptic number.

132144225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132144225 is a deficient number, since it is larger than the sum of its proper divisors (87341727).

132144225 is a wasteful number, since it uses less digits than its factorization.

132144225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8137 (or 8132 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 132144225 is about 11495.4001670233. The cubic root of 132144225 is about 509.3497094347.

Adding to 132144225 its reverse (522441231), we get a palindrome (654585456).

The spelling of 132144225 in words is "one hundred thirty-two million, one hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 223 669 1115 3345 5575 7901 16725 23703 39505 118515 197525 592575 1761923 5285769 8809615 26428845 44048075 132144225