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137080608 = 2537203989
BaseRepresentation
bin10000010101110…
…10111100100000
3100112221102020120
420022322330200
5240043034413
621334040240
73253110630
oct1012727440
9315842216
10137080608
1170418765
1239aa9080
13225275b2
14142c46c0
15c07b723
hex82baf20

137080608 has 48 divisors (see below), whose sum is σ = 411243840. Its totient is φ = 39165696.

The previous prime is 137080607. The next prime is 137080609. The reversal of 137080608 is 806080731.

137080608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137080607) and next prime (137080609).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (137080607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101323 + ... + 102666.

It is an arithmetic number, because the mean of its divisors is an integer number (8567580).

Almost surely, 2137080608 is an apocalyptic number.

It is an amenable number.

137080608 is an abundant number, since it is smaller than the sum of its proper divisors (274163232).

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

137080608 is a wasteful number, since it uses less digits than its factorization.

137080608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204009 (or 204001 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 137080608 is about 11708.1428074652. The cubic root of 137080608 is about 515.6147596277.

The spelling of 137080608 in words is "one hundred thirty-seven million, eighty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 203989 407978 611967 815956 1223934 1427923 1631912 2447868 2855846 3263824 4283769 4895736 5711692 6527648 8567538 9791472 11423384 17135076 19582944 22846768 34270152 45693536 68540304 137080608