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137461766 = 21341128951
BaseRepresentation
bin10000011000110…
…00000000000110
3100120122210002112
420030120000012
5240142234031
621350141022
73256256111
oct1014300006
9316583075
10137461766
1170659072
123a051772
132262bc30
1414383578
15c10462b
hex8318006

137461766 has 16 divisors (see below), whose sum is σ = 227471328. Its totient is φ = 61896000.

The previous prime is 137461757. The next prime is 137461783. The reversal of 137461766 is 667164731.

137461766 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1374617662 = 37791474223677512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63410 + ... + 65541.

It is an arithmetic number, because the mean of its divisors is an integer number (14216958).

Almost surely, 2137461766 is an apocalyptic number.

137461766 is a deficient number, since it is larger than the sum of its proper divisors (90009562).

137461766 is a wasteful number, since it uses less digits than its factorization.

137461766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129007.

The product of its digits is 127008, while the sum is 41.

The square root of 137461766 is about 11724.4089829722. The cubic root of 137461766 is about 516.0922130533.

The spelling of 137461766 in words is "one hundred thirty-seven million, four hundred sixty-one thousand, seven hundred sixty-six".

Divisors: 1 2 13 26 41 82 533 1066 128951 257902 1676363 3352726 5286991 10573982 68730883 137461766