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137494 = 2722361
BaseRepresentation
bin100001100100010110
320222121101
4201210112
513344434
62540314
71111600
oct414426
9228541
10137494
1194335
126769a
134a776
1438170
152ab14
hex21916

137494 has 24 divisors (see below), whose sum is σ = 254448. Its totient is φ = 55440.

The previous prime is 137491. The next prime is 137507. The reversal of 137494 is 494731.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 39 + 42 + 76 + 92 + 43 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137491) 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 11 ways as a sum of consecutive naturals, for example, 2224 + ... + 2284.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

137494 is a Friedman number, since it can be written as (9^4*3-41)*7, using all its digits and the basic arithmetic operations.

2137494 is an apocalyptic number.

137494 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

137494 is a deficient number, since it is larger than the sum of its proper divisors (116954).

137494 is a wasteful number, since it uses less digits than its factorization.

137494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 137494 is about 370.8018338682. The cubic root of 137494 is about 51.6132550127.

The spelling of 137494 in words is "one hundred thirty-seven thousand, four hundred ninety-four".

Divisors: 1 2 7 14 23 46 49 61 98 122 161 322 427 854 1127 1403 2254 2806 2989 5978 9821 19642 68747 137494