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137314131 = 352978641
BaseRepresentation
bin10000010111100…
…11111101010011
3100120101021120120
420023303331103
5240123023011
621343041323
73255102513
oct1013637523
9316337516
10137314131
1170568159
1239ba0243
13225a9986
1414345843
15c0c5a06
hex82f3f53

137314131 has 8 divisors (see below), whose sum is σ = 183141264. Its totient is φ = 91514880.

The previous prime is 137314129. The next prime is 137314139. The reversal of 137314131 is 131413731.

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

It is not a de Polignac number, because 137314131 - 21 = 137314129 is a prime.

It is a super-2 number, since 2×1373141312 = 37710341144570322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137314139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11571 + ... + 20211.

It is an arithmetic number, because the mean of its divisors is an integer number (22892658).

Almost surely, 2137314131 is an apocalyptic number.

137314131 is a deficient number, since it is larger than the sum of its proper divisors (45827133).

137314131 is an equidigital number, since it uses as much as digits as its factorization.

137314131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941.

The product of its digits is 756, while the sum is 24.

The square root of 137314131 is about 11718.1112385913. Note that the first 3 decimals coincide. The cubic root of 137314131 is about 515.9073845255.

Adding to 137314131 its reverse (131413731), we get a palindrome (268727862).

The spelling of 137314131 in words is "one hundred thirty-seven million, three hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 5297 8641 15891 25923 45771377 137314131