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132131337 = 31329116827
BaseRepresentation
bin1111110000000…
…10101000001001
3100012121222010020
413320002220021
5232311200322
621040011053
73163045362
oct770025011
9305558106
10132131337
1168648258
1238300a89
13214b3930
1413796b69
15b90005c
hex7e02a09

132131337 has 16 divisors (see below), whose sum is σ = 196271040. Its totient is φ = 78507072.

The previous prime is 132131323. The next prime is 132131369. The reversal of 132131337 is 733131231.

It is not a de Polignac number, because 132131337 - 214 = 132114953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132131137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57283 + ... + 59544.

It is an arithmetic number, because the mean of its divisors is an integer number (12266940).

Almost surely, 2132131337 is an apocalyptic number.

It is an amenable number.

132131337 is a deficient number, since it is larger than the sum of its proper divisors (64139703).

132131337 is a wasteful number, since it uses less digits than its factorization.

132131337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116872.

The product of its digits is 1134, while the sum is 24.

The square root of 132131337 is about 11494.8395813078. The cubic root of 132131337 is about 509.3331499711. Note that the first 3 decimals are identical.

Adding to 132131337 its reverse (733131231), we get a palindrome (865262568).

The spelling of 132131337 in words is "one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-seven".

Divisors: 1 3 13 29 39 87 377 1131 116827 350481 1518751 3387983 4556253 10163949 44043779 132131337