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137279805 = 35133753359
BaseRepresentation
bin10000010111010…
…11100100111101
3100120022112111020
420023223210331
5240120423210
621342214353
73254600445
oct1013534475
9316275436
10137279805
1170544393
1239b843b9
1322597170
1414337125
15c0ba770
hex82eb93d

137279805 has 64 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 64336896.

The previous prime is 137279803. The next prime is 137279837. The reversal of 137279805 is 508972731.

It is not a de Polignac number, because 137279805 - 21 = 137279803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137279803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382216 + ... + 382574.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2137279805 is an apocalyptic number.

137279805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137279805 is a deficient number, since it is larger than the sum of its proper divisors (110930115).

137279805 is a wasteful number, since it uses less digits than its factorization.

137279805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 137279805 is about 11716.6464912107. The cubic root of 137279805 is about 515.8643918327.

It can be divided in two parts, 13727 and 9805, that added together give a palindrome (23532).

The spelling of 137279805 in words is "one hundred thirty-seven million, two hundred seventy-nine thousand, eight hundred five".

Divisors: 1 3 5 13 15 37 39 53 65 111 159 185 195 265 359 481 555 689 795 1077 1443 1795 1961 2067 2405 3445 4667 5385 5883 7215 9805 10335 13283 14001 19027 23335 25493 29415 39849 57081 66415 70005 76479 95135 127465 172679 199245 247351 285405 382395 518037 703999 742053 863395 1236755 2111997 2590185 3519995 3710265 9151987 10559985 27455961 45759935 137279805