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138590133 = 3112381791
BaseRepresentation
bin10000100001010…
…11011110110101
3100122210002220220
420100223132311
5240434341013
621430244553
73301665603
oct1020533665
9318702826
10138590133
1171259900
123a4b6759
13229356c6
1414598873
15c278b23
hex842b7b5

138590133 has 12 divisors (see below), whose sum is σ = 203113344. Its totient is φ = 83993800.

The previous prime is 138590131. The next prime is 138590143. The reversal of 138590133 is 331095831.

138590133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138590133 - 21 = 138590131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 138590094 and 138590103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138590131) 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, 190533 + ... + 191258.

It is an arithmetic number, because the mean of its divisors is an integer number (16926112).

Almost surely, 2138590133 is an apocalyptic number.

It is an amenable number.

138590133 is a deficient number, since it is larger than the sum of its proper divisors (64523211).

138590133 is a wasteful number, since it uses less digits than its factorization.

138590133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381816 (or 381805 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 138590133 is about 11772.4310573475. The cubic root of 138590133 is about 517.5004961605.

The spelling of 138590133 in words is "one hundred thirty-eight million, five hundred ninety thousand, one hundred thirty-three".

Divisors: 1 3 11 33 121 363 381791 1145373 4199701 12599103 46196711 138590133