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142129 = 132292
BaseRepresentation
bin100010101100110001
321012222001
4202230301
514022004
63014001
71131241
oct425461
9235861
10142129
1197869
126a301
134c900
1439b21
152c1a4
hex22b31

142129 has 9 divisors (see below), whose sum is σ = 159393. Its totient is φ = 126672.

The previous prime is 142123. The next prime is 142151. The reversal of 142129 is 921241.

Multipling 142129 by its product of digits (144), we get a square (20466576 = 45242).

It can be divided in two parts, 1421 and 29, that multiplied together give a square (41209 = 2032).

142129 = T376 + T377.

The square root of 142129 is 377.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18225 + 123904 = 135^2 + 352^2 .

It is not a de Polignac number, because 142129 - 25 = 142097 is a prime.

142129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (142123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4887 + ... + 4915.

142129 is a Friedman number, since it can be written as (42*9-1*1)^2, using all its digits and the basic arithmetic operations.

2142129 is an apocalyptic number.

142129 is the 377-th square number.

142129 is the 189-th centered octagonal number.

It is an amenable number.

142129 is a deficient number, since it is larger than the sum of its proper divisors (17264).

142129 is an equidigital number, since it uses as much as digits as its factorization.

142129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The cubic root of 142129 is about 52.1868279522.

The spelling of 142129 in words is "one hundred forty-two thousand, one hundred twenty-nine".

Divisors: 1 13 29 169 377 841 4901 10933 142129