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137073856 = 261727411
BaseRepresentation
bin10000010101110…
…01010011000000
3100112221001222111
420022321103000
5240042330411
621333545104
73253052143
oct1012712300
9315831874
10137073856
1170413687
1239aa5194
13225244ba
14142c205a
15c079721
hex82b94c0

137073856 has 42 divisors (see below), whose sum is σ = 288986468. Its totient is φ = 64496640.

The previous prime is 137073821. The next prime is 137073857. The reversal of 137073856 is 658370731.

It is not an unprimeable number, because it can be changed into a prime (137073857) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14791 + ... + 22201.

Almost surely, 2137073856 is an apocalyptic number.

137073856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144493234).

137073856 is an abundant number, since it is smaller than the sum of its proper divisors (151912612).

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

137073856 is an equidigital number, since it uses as much as digits as its factorization.

137073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 137073856 is about 11707.8544575853. The cubic root of 137073856 is about 515.6062938350.

The spelling of 137073856 in words is "one hundred thirty-seven million, seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 7411 9248 14822 18496 29644 59288 118576 125987 237152 251974 474304 503948 1007896 2015792 2141779 4031584 4283558 8063168 8567116 17134232 34268464 68536928 137073856