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132731145 = 3254171941
BaseRepresentation
bin1111110100101…
…01000100001001
3100020202102220100
413322111010021
5232434344040
621100520013
73201124161
oct772250411
9306672810
10132731145
1168a17968
1238550009
1321663951
14138b15a1
15b9bcb30
hex7e95109

132731145 has 24 divisors (see below), whose sum is σ = 235681992. Its totient is φ = 69062400.

The previous prime is 132731117. The next prime is 132731171. The reversal of 132731145 is 541137231.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 130028409 = 1644^2 + 11403^2 .

It is not a de Polignac number, because 132731145 - 28 = 132730889 is a prime.

It is a super-2 number, since 2×1327311452 = 35235113706022050, which contains 22 as substring.

It is a Curzon number.

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, 34126 + ... + 37815.

It is an arithmetic number, because the mean of its divisors is an integer number (9820083).

Almost surely, 2132731145 is an apocalyptic number.

132731145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132731145 is a deficient number, since it is larger than the sum of its proper divisors (102950847).

132731145 is a wasteful number, since it uses less digits than its factorization.

132731145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71993 (or 71990 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 132731145 is about 11520.9003554410. The cubic root of 132731145 is about 510.1026898177.

Adding to 132731145 its reverse (541137231), we get a palindrome (673868376).

The spelling of 132731145 in words is "one hundred thirty-two million, seven hundred thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 71941 215823 359705 647469 1079115 2949581 3237345 8848743 14747905 26546229 44243715 132731145