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137107230 = 235131918503
BaseRepresentation
bin10000010110000…
…01011100011110
3100112222202202120
420023001130132
5240044412410
621334403410
73253251351
oct1013013436
9315882676
10137107230
1170436767
1239b00566
1322536750
14142d0298
15c084570
hex82c171e

137107230 has 64 divisors (see below), whose sum is σ = 373040640. Its totient is φ = 31971456.

The previous prime is 137107207. The next prime is 137107231. The reversal of 137107230 is 32701731.

It is a self number, because there is not a number n which added to its sum of digits gives 137107230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137107231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1842 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (5828760).

Almost surely, 2137107230 is an apocalyptic number.

137107230 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 137107230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186520320).

137107230 is an abundant number, since it is smaller than the sum of its proper divisors (235933410).

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

137107230 is a wasteful number, since it uses less digits than its factorization.

137107230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18545.

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 137107230 is about 11709.2796533348. The cubic root of 137107230 is about 515.6481361152.

Adding to 137107230 its reverse (32701731), we get a palindrome (169808961).

The spelling of 137107230 in words is "one hundred thirty-seven million, one hundred seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 390 494 570 741 1235 1482 2470 3705 7410 18503 37006 55509 92515 111018 185030 240539 277545 351557 481078 555090 703114 721617 1054671 1202695 1443234 1757785 2109342 2405390 3515570 3608085 4570241 5273355 7216170 9140482 10546710 13710723 22851205 27421446 45702410 68553615 137107230