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137274 = 23137167
BaseRepresentation
bin100001100000111010
320222022020
4201200322
513343044
62535310
71111134
oct414072
9228266
10137274
1194155
1267536
134a637
1438054
152aa19
hex2183a

137274 has 16 divisors (see below), whose sum is σ = 278208. Its totient is φ = 45152.

The previous prime is 137273. The next prime is 137279. The reversal of 137274 is 472731.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (137273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (17388).

2137274 is an apocalyptic number.

137274 is an abundant number, since it is smaller than the sum of its proper divisors (140934).

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

137274 is a wasteful number, since it uses less digits than its factorization.

137274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309.

The product of its digits is 1176, while the sum is 24.

The square root of 137274 is about 370.5050606942. The cubic root of 137274 is about 51.5857120467.

It can be divided in two parts, 13727 and 4, that added together give a palindrome (13731).

The spelling of 137274 in words is "one hundred thirty-seven thousand, two hundred seventy-four".

Divisors: 1 2 3 6 137 167 274 334 411 501 822 1002 22879 45758 68637 137274