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137411190 = 23257231159
BaseRepresentation
bin10000011000010…
…11101001110110
3100120120012201100
420030023221312
5240134124230
621345110530
73255655500
oct1014135166
9316505640
10137411190
1170624074
123a028446
1322611bc7
141436cd70
15c0e4660
hex830ba76

137411190 has 72 divisors (see below), whose sum is σ = 415612080. Its totient is φ = 31407264.

The previous prime is 137411159. The next prime is 137411201. The reversal of 137411190 is 91114731.

It is a super-2 number, since 2×1374111902 = 37763670274432200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11170 + ... + 19989.

It is an arithmetic number, because the mean of its divisors is an integer number (5772390).

Almost surely, 2137411190 is an apocalyptic number.

137411190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137411190 is an abundant number, since it is smaller than the sum of its proper divisors (278200890).

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

137411190 is a wasteful number, since it uses less digits than its factorization.

137411190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31186 (or 31176 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 137411190 is about 11722.2519167607. The cubic root of 137411190 is about 516.0289104047.

The spelling of 137411190 in words is "one hundred thirty-seven million, four hundred eleven thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 31159 62318 93477 155795 186954 218113 280431 311590 436226 467385 560862 654339 934770 1090565 1308678 1402155 1526791 1963017 2181130 2804310 3053582 3271695 3926034 4580373 6543390 7633955 9160746 9815085 13741119 15267910 19630170 22901865 27482238 45803730 68705595 137411190