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137161050 = 235213312269
BaseRepresentation
bin10000010110011…
…10100101011010
3100120002111120220
420023032211122
5240103123200
621335500510
73253564305
oct1013164532
9316074526
10137161050
1170473144
1239b27736
13225550b0
1414305b3c
15c0954a0
hex82ce95a

137161050 has 96 divisors (see below), whose sum is σ = 378309120. Its totient is φ = 32659200.

The previous prime is 137161043. The next prime is 137161051. The reversal of 137161050 is 50161731.

It is a self number, because there is not a number n which added to its sum of digits gives 137161050.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137161051) 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 47 ways as a sum of consecutive naturals, for example, 59316 + ... + 61584.

It is an arithmetic number, because the mean of its divisors is an integer number (3940720).

Almost surely, 2137161050 is an apocalyptic number.

137161050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137161050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189154560).

137161050 is an abundant number, since it is smaller than the sum of its proper divisors (241148070).

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

137161050 is a wasteful number, since it uses less digits than its factorization.

137161050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 137161050 is about 11711.5776050881. The cubic root of 137161050 is about 515.7155980383.

The spelling of 137161050 in words is "one hundred thirty-seven million, one hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 186 195 310 325 390 403 465 650 775 806 930 975 1209 1550 1950 2015 2269 2325 2418 4030 4538 4650 6045 6807 10075 11345 12090 13614 20150 22690 29497 30225 34035 56725 58994 60450 68070 70339 88491 113450 140678 147485 170175 176982 211017 294970 340350 351695 422034 442455 703390 737425 884910 914407 1055085 1474850 1758475 1828814 2110170 2212275 2743221 3516950 4424550 4572035 5275425 5486442 9144070 10550850 13716105 22860175 27432210 45720350 68580525 137161050