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130138137 = 336837057
BaseRepresentation
bin1111100000111…
…00000000011001
3100001212200222000
413300130000121
5231303410022
620525151213
73140104323
oct760340031
9301780860
10130138137
1167506788
12376bb509
1320c6661c
14133d8613
15b6596ac
hex7c1c019

130138137 has 16 divisors (see below), whose sum is σ = 193106880. Its totient is φ = 86619456.

The previous prime is 130138133. The next prime is 130138153. The reversal of 130138137 is 731831031.

It is not a de Polignac number, because 130138137 - 22 = 130138133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130138137.

It is not an unprimeable number, because it can be changed into a prime (130138133) 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, 14913 + ... + 21969.

It is an arithmetic number, because the mean of its divisors is an integer number (12069180).

Almost surely, 2130138137 is an apocalyptic number.

It is an amenable number.

130138137 is a deficient number, since it is larger than the sum of its proper divisors (62968743).

130138137 is an equidigital number, since it uses as much as digits as its factorization.

130138137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 130138137 is about 11407.8103508079. The cubic root of 130138137 is about 506.7590676257.

Adding to 130138137 its reverse (731831031), we get a palindrome (861969168).

The spelling of 130138137 in words is "one hundred thirty million, one hundred thirty-eight thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 683 2049 6147 7057 18441 21171 63513 190539 4819931 14459793 43379379 130138137