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132350153 = 132783137
BaseRepresentation
bin1111110001110…
…00000011001001
3100020001002021112
413320320003021
5232340201103
621044420105
73164646335
oct770700311
9306032245
10132350153
11687876a1
12383a7635
132155c400
14138127c5
15b944cd8
hex7e380c9

132350153 has 6 divisors (see below), whose sum is σ = 143314254. Its totient is φ = 122169216.

The previous prime is 132350149. The next prime is 132350189. The reversal of 132350153 is 351053231.

It can be written as a sum of positive squares in 3 ways, for example, as 15429184 + 116920969 = 3928^2 + 10813^2 .

It is not a de Polignac number, because 132350153 - 22 = 132350149 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132350123) 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 5 ways as a sum of consecutive naturals, for example, 391400 + ... + 391737.

It is an arithmetic number, because the mean of its divisors is an integer number (23885709).

Almost surely, 2132350153 is an apocalyptic number.

132350153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132350153 is a deficient number, since it is larger than the sum of its proper divisors (10964101).

132350153 is an equidigital number, since it uses as much as digits as its factorization.

132350153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783163 (or 783150 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 132350153 is about 11504.3536541607. The cubic root of 132350153 is about 509.6141551670.

The spelling of 132350153 in words is "one hundred thirty-two million, three hundred fifty thousand, one hundred fifty-three".

Divisors: 1 13 169 783137 10180781 132350153