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137566044 = 223271149627
BaseRepresentation
bin10000011001100…
…01011101011100
3100120212002010200
420030301131130
5240204103134
621352303500
73260202120
oct1014613534
9316762120
10137566044
117071a450
123a0a1b90
1322667535
14143ad580
15c125499
hex833175c

137566044 has 72 divisors (see below), whose sum is σ = 433550208. Its totient is φ = 35730720.

The previous prime is 137566007. The next prime is 137566049. The reversal of 137566044 is 440665731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137566049) 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 23 ways as a sum of consecutive naturals, for example, 22042 + ... + 27585.

Almost surely, 2137566044 is an apocalyptic number.

137566044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137566044 is an abundant number, since it is smaller than the sum of its proper divisors (295984164).

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

137566044 is a wasteful number, since it uses less digits than its factorization.

137566044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49655 (or 49650 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 137566044 is about 11728.8551871016. The cubic root of 137566044 is about 516.2226819651. Note that the first 3 decimals are identical.

The spelling of 137566044 in words is "one hundred thirty-seven million, five hundred sixty-six thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 49627 99254 148881 198508 297762 347389 446643 545897 595524 694778 893286 1042167 1091794 1389556 1637691 1786572 2084334 2183588 3126501 3275382 3821279 4168668 4913073 6253002 6550764 7642558 9826146 11463837 12506004 15285116 19652292 22927674 34391511 45855348 68783022 137566044