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137418837 = 31717915053
BaseRepresentation
bin10000011000011…
…01100001010101
3100120120121012120
420030031201111
5240134400322
621345210153
73256020003
oct1014154125
9316517176
10137418837
1170629896
123a030959
132261552a
1414371a73
15c0e6a5c
hex830d855

137418837 has 16 divisors (see below), whose sum is σ = 195099840. Its totient is φ = 85736192.

The previous prime is 137418829. The next prime is 137418889. The reversal of 137418837 is 738814731.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 137418837 - 23 = 137418829 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137418817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (12193740).

Almost surely, 2137418837 is an apocalyptic number.

137418837 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

137418837 is a deficient number, since it is larger than the sum of its proper divisors (57681003).

137418837 is a wasteful number, since it uses less digits than its factorization.

137418837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252.

The product of its digits is 112896, while the sum is 42.

The square root of 137418837 is about 11722.5780867521. The cubic root of 137418837 is about 516.0384826476.

It can be divided in two parts, 13741 and 8837, that added together give a triangular number (22578 = T212).

The spelling of 137418837 in words is "one hundred thirty-seven million, four hundred eighteen thousand, eight hundred thirty-seven".

Divisors: 1 3 17 51 179 537 3043 9129 15053 45159 255901 767703 2694487 8083461 45806279 137418837