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137141766 = 23210397333
BaseRepresentation
bin10000010110010…
…01111000000110
3100120001112010200
420023021320012
5240102014031
621335231330
73253454136
oct1013117006
9316045120
10137141766
117045a703
1239b18546
1322549398
14142dcac6
15c08e8e6
hex82c9e06

137141766 has 24 divisors (see below), whose sum is σ = 297467040. Its totient is φ = 45663696.

The previous prime is 137141759. The next prime is 137141777. The reversal of 137141766 is 667141731.

It is a self number, because there is not a number n which added to its sum of digits gives 137141766.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15036 + ... + 22368.

It is an arithmetic number, because the mean of its divisors is an integer number (12394460).

Almost surely, 2137141766 is an apocalyptic number.

137141766 is an abundant number, since it is smaller than the sum of its proper divisors (160325274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137141766 is a wasteful number, since it uses less digits than its factorization.

137141766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8377 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 137141766 is about 11710.7542882600. The cubic root of 137141766 is about 515.6914280918.

The spelling of 137141766 in words is "one hundred thirty-seven million, one hundred forty-one thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 1039 2078 3117 6234 7333 9351 14666 18702 21999 43998 65997 131994 7618987 15237974 22856961 45713922 68570883 137141766