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137992239 = 327111731151
BaseRepresentation
bin10000011100110…
…01100000101111
3100121122201202200
420032121200233
5240311222424
621405352543
73263625510
oct1016314057
9317581680
10137992239
1170990680
123a268753
1322786518
1414480a07
15c1ab8c9
hex839982f

137992239 has 48 divisors (see below), whose sum is σ = 250159104. Its totient is φ = 71208000.

The previous prime is 137992199. The next prime is 137992243. The reversal of 137992239 is 932299731.

It is a happy number.

It is not a de Polignac number, because 137992239 - 28 = 137991983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137992194 and 137992203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137992139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119314 + ... + 120464.

It is an arithmetic number, because the mean of its divisors is an integer number (5211648).

Almost surely, 2137992239 is an apocalyptic number.

137992239 is a deficient number, since it is larger than the sum of its proper divisors (112166865).

137992239 is a wasteful number, since it uses less digits than its factorization.

137992239 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1345 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 137992239 is about 11747.0097897295. The cubic root of 137992239 is about 516.7552375847.

The spelling of 137992239 in words is "one hundred thirty-seven million, nine hundred ninety-two thousand, two hundred thirty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 173 231 519 693 1151 1211 1557 1903 3453 3633 5709 8057 10359 10899 12661 13321 17127 24171 37983 39963 72513 88627 113949 119889 199123 265881 597369 797643 1393861 1792107 2190353 4181583 6571059 12544749 15332471 19713177 45997413 137992239