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137884159 = 7191079689
BaseRepresentation
bin10000011011111…
…11000111111111
3100121110020111201
420031333013333
5240244243114
621403200331
73262665430
oct1015770777
9317406451
10137884159
1170917456
123a2160a7
132274927a
1414453487
15c189874
hex837f1ff

137884159 has 16 divisors (see below), whose sum is σ = 167443200. Its totient is φ = 110908224.

The previous prime is 137884157. The next prime is 137884207. The reversal of 137884159 is 951488731.

It is a happy number.

It is not a de Polignac number, because 137884159 - 21 = 137884157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137884157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9387 + ... + 19075.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2137884159 is an apocalyptic number.

137884159 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137884159 is a deficient number, since it is larger than the sum of its proper divisors (29559041).

137884159 is a wasteful number, since it uses less digits than its factorization.

137884159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822.

The product of its digits is 241920, while the sum is 46.

The square root of 137884159 is about 11742.4085689436. The cubic root of 137884159 is about 516.6202891890.

It can be divided in two parts, 1 and 37884159, that added together give a triangular number (37884160 = T8704).

The spelling of 137884159 in words is "one hundred thirty-seven million, eight hundred eighty-four thousand, one hundred fifty-nine".

Divisors: 1 7 19 107 133 749 2033 9689 14231 67823 184091 1036723 1288637 7257061 19697737 137884159