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132142133 = 373899181
BaseRepresentation
bin1111110000001…
…01010000110101
3100012122111221002
413320011100311
5232312022013
621040133045
73163122014
oct770052065
9305574832
10132142133
1168655382
1238307185
13214b8816
141379aa7b
15b903358
hex7e05435

132142133 has 8 divisors (see below), whose sum is σ = 136077240. Its totient is φ = 128226240.

The previous prime is 132142097. The next prime is 132142159. The reversal of 132142133 is 331241231.

It can be written as a sum of positive squares in 4 ways, for example, as 36747844 + 95394289 = 6062^2 + 9767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132142133 - 26 = 132142069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132142193) 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 7 ways as a sum of consecutive naturals, for example, 9803 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (17009655).

Almost surely, 2132142133 is an apocalyptic number.

It is an amenable number.

132142133 is a deficient number, since it is larger than the sum of its proper divisors (3935107).

132142133 is an equidigital number, since it uses as much as digits as its factorization.

132142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9607.

The product of its digits is 432, while the sum is 20.

The square root of 132142133 is about 11495.3091737456. The cubic root of 132142133 is about 509.3470215503.

Adding to 132142133 its reverse (331241231), we get a palindrome (463383364).

The spelling of 132142133 in words is "one hundred thirty-two million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 37 389 9181 14393 339697 3571409 132142133