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137276865 = 325112973131
BaseRepresentation
bin10000010111010…
…10110111000001
3100120022101110100
420023222313001
5240120324430
621342153013
73254556045
oct1013526701
9316271410
10137276865
1170542160
1239b82769
1322595a1b
1414336025
15c0b9960
hex82eadc1

137276865 has 96 divisors (see below), whose sum is σ = 274285440. Its totient is φ = 62899200.

The previous prime is 137276851. The next prime is 137276869. The reversal of 137276865 is 568672731.

It is not a de Polignac number, because 137276865 - 24 = 137276849 is a prime.

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

Its product of digits (423360) is a multiple of the sum of its prime divisors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 137276865.

It is not an unprimeable number, because it can be changed into a prime (137276869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1047850 + ... + 1047980.

It is an arithmetic number, because the mean of its divisors is an integer number (2857140).

Almost surely, 2137276865 is an apocalyptic number.

137276865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137276865 is a deficient number, since it is larger than the sum of its proper divisors (137008575).

137276865 is a wasteful number, since it uses less digits than its factorization.

137276865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 137276865 is about 11716.5210280185. The cubic root of 137276865 is about 515.8607092028.

The spelling of 137276865 in words is "one hundred thirty-seven million, two hundred seventy-six thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 73 87 99 131 145 165 219 261 319 365 393 435 495 655 657 803 957 1095 1179 1305 1441 1595 1965 2117 2409 2871 3285 3799 4015 4323 4785 5895 6351 7205 7227 9563 10585 11397 12045 12969 14355 18995 19053 21615 23287 28689 31755 34191 36135 41789 47815 56985 64845 69861 86067 95265 105193 116435 125367 143445 170955 208945 209583 277327 315579 349305 376101 430335 525965 626835 831981 946737 1047915 1386635 1577895 1880505 2495943 3050597 4159905 4733685 9151791 12479715 15252985 27455373 45758955 137276865