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137221530 = 23537181683
BaseRepresentation
bin10000010110111…
…01010110011010
3100120012120112220
420023131112122
5240112042110
621341044510
73254235525
oct1013352632
9316176486
10137221530
1170504626
1239b56736
1322576794
141431dbbc
15c0a8370
hex82dd59a

137221530 has 64 divisors (see below), whose sum is σ = 340599168. Its totient is φ = 35354880.

The previous prime is 137221523. The next prime is 137221541. The reversal of 137221530 is 35122731.

137221530 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137221530.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200569 + ... + 201251.

It is an arithmetic number, because the mean of its divisors is an integer number (5321862).

Almost surely, 2137221530 is an apocalyptic number.

137221530 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 137221530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170299584).

137221530 is an abundant number, since it is smaller than the sum of its proper divisors (203377638).

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

137221530 is a wasteful number, since it uses less digits than its factorization.

137221530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137221530 is about 11714.1593808519. The cubic root of 137221530 is about 515.7913870374.

The spelling of 137221530 in words is "one hundred thirty-seven million, two hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 181 185 222 362 370 543 555 683 905 1086 1110 1366 1810 2049 2715 3415 4098 5430 6697 6830 10245 13394 20091 20490 25271 33485 40182 50542 66970 75813 100455 123623 126355 151626 200910 247246 252710 370869 379065 618115 741738 758130 1236230 1854345 3708690 4574051 9148102 13722153 22870255 27444306 45740510 68610765 137221530