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137843808 = 2531817933
BaseRepresentation
bin10000011011101…
…01010001100000
3100121101012011020
420031311101200
5240242000213
621402245440
73262436664
oct1015652140
9317335136
10137843808
117089a103
123a1b6880
1322733aab
14144428a4
15c17c923
hex8375460

137843808 has 48 divisors (see below), whose sum is σ = 363884976. Its totient is φ = 45688320.

The previous prime is 137843801. The next prime is 137843821. The reversal of 137843808 is 808348731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137843808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137843801) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13410 + ... + 21342.

It is an arithmetic number, because the mean of its divisors is an integer number (7580937).

Almost surely, 2137843808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137843808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181942488).

137843808 is an abundant number, since it is smaller than the sum of its proper divisors (226041168).

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

137843808 is a wasteful number, since it uses less digits than its factorization.

137843808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8119 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 137843808 is about 11740.6902693155. The cubic root of 137843808 is about 516.5698889611.

The spelling of 137843808 in words is "one hundred thirty-seven million, eight hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 362 543 724 1086 1448 2172 2896 4344 5792 7933 8688 15866 17376 23799 31732 47598 63464 95196 126928 190392 253856 380784 761568 1435873 2871746 4307619 5743492 8615238 11486984 17230476 22973968 34460952 45947936 68921904 137843808