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137067795 = 355373049
BaseRepresentation
bin10000010101101…
…11110100010011
3100112220202200000
420022313310103
5240042132140
621333501043
73253025364
oct1012676423
9315822600
10137067795
117040a077
1239aa1783
1322521807
14142bdb6b
15c077a30
hex82b7d13

137067795 has 48 divisors (see below), whose sum is σ = 253125600. Its totient is φ = 71103744.

The previous prime is 137067779. The next prime is 137067857. The reversal of 137067795 is 597760731.

137067795 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 137067795 - 24 = 137067779 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137067795.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43431 + ... + 46479.

It is an arithmetic number, because the mean of its divisors is an integer number (5273450).

Almost surely, 2137067795 is an apocalyptic number.

137067795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137067795 is a deficient number, since it is larger than the sum of its proper divisors (116057805).

137067795 is an equidigital number, since it uses as much as digits as its factorization.

137067795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 137067795 is about 11707.5956113969. The cubic root of 137067795 is about 515.5986941952.

The spelling of 137067795 in words is "one hundred thirty-seven million, sixty-seven thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 15 27 37 45 81 111 135 185 243 333 405 555 999 1215 1665 2997 3049 4995 8991 9147 14985 15245 27441 44955 45735 82323 112813 137205 246969 338439 411615 564065 740907 1015317 1234845 1692195 3045951 3704535 5076585 9137853 15229755 27413559 45689265 137067795