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137410137 = 32103227653
BaseRepresentation
bin10000011000010…
…11011001011001
3100120120011021100
420030023121121
5240134111022
621345102013
73255652434
oct1014133131
9316504240
10137410137
11706232a7
123a027909
1322611597
141436c81b
15c0e41ac
hex830b659

137410137 has 24 divisors (see below), whose sum is σ = 201599424. Its totient is φ = 90179424.

The previous prime is 137410121. The next prime is 137410153. The reversal of 137410137 is 731014731.

It is an interprime number because it is at equal distance from previous prime (137410121) and next prime (137410153).

It is not a de Polignac number, because 137410137 - 24 = 137410121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137410137.

It is not an unprimeable number, because it can be changed into a prime (137410157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210103 + ... + 210755.

It is an arithmetic number, because the mean of its divisors is an integer number (8399976).

Almost surely, 2137410137 is an apocalyptic number.

It is an amenable number.

137410137 is a deficient number, since it is larger than the sum of its proper divisors (64189287).

137410137 is a wasteful number, since it uses less digits than its factorization.

137410137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 137410137 is about 11722.2070020965. The cubic root of 137410137 is about 516.0275922689.

Adding to 137410137 its reverse (731014731), we get a palindrome (868424868).

It can be divided in two parts, 1374 and 10137, that added together give a palindrome (11511).

The spelling of 137410137 in words is "one hundred thirty-seven million, four hundred ten thousand, one hundred thirty-seven".

Divisors: 1 3 9 103 227 309 653 681 927 1959 2043 5877 23381 67259 70143 148231 201777 210429 444693 605331 1334079 15267793 45803379 137410137