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134274 = 23723139
BaseRepresentation
bin100000110010000010
320211012010
4200302002
513244044
62513350
71066320
oct406202
9224163
10134274
1191978
1265856
134916a
1436d10
1529bb9
hex20c82

134274 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 36432.

The previous prime is 134269. The next prime is 134287. The reversal of 134274 is 472431.

134274 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 134274.

It is a congruent number.

It is an unprimeable number.

134274 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 897 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2134274 is an apocalyptic number.

134274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

134274 is an abundant number, since it is smaller than the sum of its proper divisors (188286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134274 is a wasteful number, since it uses less digits than its factorization.

134274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174.

The product of its digits is 672, while the sum is 21.

The square root of 134274 is about 366.4341687125. The cubic root of 134274 is about 51.2071543551.

It can be divided in two parts, 13427 and 4, that added together give a palindrome (13431).

The spelling of 134274 in words is "one hundred thirty-four thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 139 161 278 322 417 483 834 966 973 1946 2919 3197 5838 6394 9591 19182 22379 44758 67137 134274