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146137 = 317461
BaseRepresentation
bin100011101011011001
321102110111
4203223121
514134022
63044321
71146025
oct435331
9242414
10146137
119a882
12706a1
1351694
143b385
152d477

146137 has 4 divisors (see below), whose sum is σ = 146916. Its totient is φ = 145360.

The previous prime is 146117. The next prime is 146141. The reversal of 146137 is 731641.

Adding to 146137 its product of digits (504), we get a palindrome (146641).

Adding to 146137 its reverse (731641), we get a palindrome (877778).

It can be divided in two parts, 146 and 137, that multiplied together give a palindrome (20002).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 731641 = 2925229.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 121801 = 156^2 + 349^2 .

It is a cyclic number.

It is not a de Polignac number, because 146137 - 27 = 146009 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146117) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 547.

It is an arithmetic number, because the mean of its divisors is an integer number (36729).

146137 is a Friedman number, since it can be written as 461*317, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 317461 (with its own digits).

2146137 is an apocalyptic number.

It is an amenable number.

146137 is a deficient number, since it is larger than the sum of its proper divisors (779).

146137 is an equidigital number, since it uses as much as digits as its factorization.

146137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

The product of its digits is 504, while the sum is 22.

The square root of 146137 is about 382.2786941487. The cubic root of 146137 is about 52.6728392772.

The spelling of 146137 in words is "one hundred forty-six thousand, one hundred thirty-seven".

Divisors: 1 317 461 146137