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137736841 = 1126118661
BaseRepresentation
bin10000011010110…
…11001010001001
3100121011202102111
420031123022021
5240230034331
621400102321
73261513064
oct1015331211
9317152374
10137736841
1170826800
123a1649a1
13226c71b8
14144158db
15c15adb1
hex835b289

137736841 has 12 divisors (see below), whose sum is σ = 153886852. Its totient is φ = 123156000.

The previous prime is 137736821. The next prime is 137736883. The reversal of 137736841 is 148637731.

It can be written as a sum of positive squares in 2 ways, for example, as 7868025 + 129868816 = 2805^2 + 11396^2 .

It is not a de Polignac number, because 137736841 - 213 = 137728649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137736794 and 137736803.

It is not an unprimeable number, because it can be changed into a prime (137736821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1950 + ... + 16711.

Almost surely, 2137736841 is an apocalyptic number.

137736841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137736841 is a deficient number, since it is larger than the sum of its proper divisors (16150011).

137736841 is a wasteful number, since it uses less digits than its factorization.

137736841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18744 (or 18733 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 137736841 is about 11736.1339886694. The cubic root of 137736841 is about 516.4362347158.

The spelling of 137736841 in words is "one hundred thirty-seven million, seven hundred thirty-six thousand, eight hundred forty-one".

Divisors: 1 11 61 121 671 7381 18661 205271 1138321 2257981 12521531 137736841