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132120129 = 31922710211
BaseRepresentation
bin1111101111111…
…11111001000001
3100012121101202010
413313333321001
5232310321004
621035443133
73163000611
oct767777101
9305541663
10132120129
116863a899
12382b64a9
13214ab7bb
1413792a41
15b8eba89
hex7dffe41

132120129 has 16 divisors (see below), whose sum is σ = 186266880. Its totient is φ = 83068560.

The previous prime is 132120103. The next prime is 132120151. The reversal of 132120129 is 921021231.

It is not a de Polignac number, because 132120129 - 25 = 132120097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132120029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834 + ... + 18044.

It is an arithmetic number, because the mean of its divisors is an integer number (11641680).

Almost surely, 2132120129 is an apocalyptic number.

132120129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

132120129 is a deficient number, since it is larger than the sum of its proper divisors (54146751).

132120129 is a wasteful number, since it uses less digits than its factorization.

132120129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 132120129 is about 11494.3520478538. The cubic root of 132120129 is about 509.3187482213.

The spelling of 132120129 in words is "one hundred thirty-two million, one hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 19 57 227 681 4313 10211 12939 30633 194009 582027 2317897 6953691 44040043 132120129