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137026 = 2131523
BaseRepresentation
bin100001011101000010
320221222001
4201131002
513341101
62534214
71110331
oct413502
9227861
10137026
1193a4a
126736a
134a4a6
1437d18
152a901
hex21742

137026 has 8 divisors (see below), whose sum is σ = 207504. Its totient is φ = 67860.

The previous prime is 136999. The next prime is 137029. The reversal of 137026 is 620731.

137026 is a nontrivial binomial coefficient, being equal to C(524, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×1370262 = 37552249352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136994 and 137012.

It is not an unprimeable number, because it can be changed into a prime (137029) 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 3 ways as a sum of consecutive naturals, for example, 1 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (25938).

2137026 is an apocalyptic number.

137026 is the 523-rd triangular number and also the 262-nd hexagonal number.

137026 is the 175-th centered nonagonal number.

137026 is a deficient number, since it is larger than the sum of its proper divisors (70478).

137026 is a wasteful number, since it uses less digits than its factorization.

137026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 137026 is about 370.1702311100. The cubic root of 137026 is about 51.5546283055.

Adding to 137026 its reverse (620731), we get a palindrome (757757).

The spelling of 137026 in words is "one hundred thirty-seven thousand, twenty-six".

Divisors: 1 2 131 262 523 1046 68513 137026