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132131345 = 5173152753
BaseRepresentation
bin1111110000000…
…10101000010001
3100012121222010112
413320002220101
5232311200340
621040011105
73163045403
oct770025021
9305558115
10132131345
1168648265
1238300a95
13214b3938
1413796b73
15b900065
hex7e02a11

132131345 has 8 divisors (see below), whose sum is σ = 159475176. Its totient is φ = 105093376.

The previous prime is 132131323. The next prime is 132131369. The reversal of 132131345 is 543131231.

It can be written as a sum of positive squares in 4 ways, for example, as 72471169 + 59660176 = 8513^2 + 7724^2 .

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 132131345 - 26 = 132131281 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 132131345.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 75512 + ... + 77241.

It is an arithmetic number, because the mean of its divisors is an integer number (19934397).

Almost surely, 2132131345 is an apocalyptic number.

It is an amenable number.

132131345 is a deficient number, since it is larger than the sum of its proper divisors (27343831).

132131345 is a wasteful number, since it uses less digits than its factorization.

132131345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152931.

The product of its digits is 1080, while the sum is 23.

The square root of 132131345 is about 11494.8399292900. The cubic root of 132131345 is about 509.3331602504. Note that the first 3 decimals are identical.

Adding to 132131345 its reverse (543131231), we get a palindrome (675262576).

The spelling of 132131345 in words is "one hundred thirty-two million, one hundred thirty-one thousand, three hundred forty-five".

Divisors: 1 5 173 865 152753 763765 26426269 132131345