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132142661 = 7289157193
BaseRepresentation
bin1111110000001…
…01011001000101
3100012122112122122
413320011121011
5232312031121
621040135325
73163123400
oct770053105
9305575578
10132142661
1168655812
1238307545
13214b8b31
141379ad37
15b9035ab
hex7e05645

132142661 has 24 divisors (see below), whose sum is σ = 157244760. Its totient is φ = 110702592.

The previous prime is 132142639. The next prime is 132142669. The reversal of 132142661 is 166241231.

It can be written as a sum of positive squares in 4 ways, for example, as 30625 + 132112036 = 175^2 + 11494^2 .

It is not a de Polignac number, because 132142661 - 26 = 132142597 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132142661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142669) by changing a digit.

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, 684581 + ... + 684773.

It is an arithmetic number, because the mean of its divisors is an integer number (6551865).

Almost surely, 2132142661 is an apocalyptic number.

It is an amenable number.

132142661 is a deficient number, since it is larger than the sum of its proper divisors (25102099).

132142661 is a wasteful number, since it uses less digits than its factorization.

132142661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 446 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 132142661 is about 11495.3321396121. The cubic root of 132142661 is about 509.3476999483.

Adding to 132142661 its reverse (166241231), we get a palindrome (298383892).

The spelling of 132142661 in words is "one hundred thirty-two million, one hundred forty-two thousand, six hundred sixty-one".

Divisors: 1 7 49 89 157 193 623 1099 1351 4361 7693 9457 13973 17177 30301 97811 120239 212107 684677 841673 1484749 2696789 18877523 132142661