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137880225 = 3452771137
BaseRepresentation
bin10000011011111…
…10001010100001
3100121110001010000
420031332022201
5240244131400
621403130213
73262651110
oct1015761241
9317401100
10137880225
11709144aa
123a213969
1322747542
1414451c77
15c188600
hex837e2a1

137880225 has 120 divisors (see below), whose sum is σ = 298159488. Its totient is φ = 61689600.

The previous prime is 137880221. The next prime is 137880257. The reversal of 137880225 is 522088731.

It is not a de Polignac number, because 137880225 - 22 = 137880221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137880225.

It is not an unprimeable number, because it can be changed into a prime (137880221) 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 119 ways as a sum of consecutive naturals, for example, 1006357 + ... + 1006493.

Almost surely, 2137880225 is an apocalyptic number.

137880225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137880225 is an abundant number, since it is smaller than the sum of its proper divisors (160279263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137880225 is a wasteful number, since it uses less digits than its factorization.

137880225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137880225 is about 11742.2410552671. The cubic root of 137880225 is about 516.6153758773.

The spelling of 137880225 in words is "one hundred thirty-seven million, eight hundred eighty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 71 75 81 105 135 137 175 189 213 225 315 355 405 411 497 525 567 639 675 685 945 959 1065 1233 1491 1575 1775 1917 2025 2055 2485 2835 2877 3195 3425 3699 4473 4725 4795 5325 5751 6165 7455 8631 9585 9727 10275 11097 12425 13419 14175 14385 15975 18495 22365 23975 25893 28755 29181 30825 37275 40257 43155 47925 48635 55485 67095 68089 71925 77679 87543 92475 111825 129465 143775 145905 201285 204267 215775 243175 262629 277425 335475 340445 388395 437715 612801 647325 729525 787887 1006425 1021335 1313145 1702225 1838403 1941975 2188575 3064005 3939435 5106675 5515209 6565725 9192015 15320025 19697175 27576045 45960075 137880225