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132531133 = 7217389409
BaseRepresentation
bin1111110011001…
…00001110111101
3100020101021112111
413321210032331
5232411444013
621052334021
73166332100
oct771441675
9306337474
10132531133
11688a0669
1238474311
13215c38b7
141385c737
15b97d73d
hex7e643bd

132531133 has 24 divisors (see below), whose sum is σ = 164057400. Its totient is φ = 106380288.

The previous prime is 132531127. The next prime is 132531143. The reversal of 132531133 is 331135231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47927929 + 84603204 = 6923^2 + 9198^2 .

It is not a de Polignac number, because 132531133 - 29 = 132530621 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 (132531103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 323833 + ... + 324241.

It is an arithmetic number, because the mean of its divisors is an integer number (6835725).

Almost surely, 2132531133 is an apocalyptic number.

It is an amenable number.

132531133 is a deficient number, since it is larger than the sum of its proper divisors (31526267).

132531133 is a wasteful number, since it uses less digits than its factorization.

132531133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 822 counting only the distinct ones).

The product of its digits is 810, while the sum is 22.

The square root of 132531133 is about 11512.2166848961. The cubic root of 132531133 is about 509.8463371483.

Adding to 132531133 its reverse (331135231), we get a palindrome (463666364).

The spelling of 132531133 in words is "one hundred thirty-two million, five hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 7 17 49 119 389 409 833 2723 2863 6613 6953 19061 20041 46291 48671 159101 324037 340697 1113707 2704717 7795949 18933019 132531133