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137353230 = 23257218021
BaseRepresentation
bin10000010111111…
…01100000001110
3100120110021012200
420023331200032
5240130300410
621343542330
73255324510
oct1013754016
9316407180
10137353230
1170594573
1239bba9a6
13225c1701
1414355bb0
15c0d23c0
hex82fd80e

137353230 has 48 divisors (see below), whose sum is σ = 408137184. Its totient is φ = 31394880.

The previous prime is 137353211. The next prime is 137353253. The reversal of 137353230 is 32353731.

137353230 = T426 + T427 + ... + T965.

It is a junction number, because it is equal to n+sod(n) for n = 137353194 and 137353203.

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 23 ways as a sum of consecutive naturals, for example, 108381 + ... + 109640.

It is an arithmetic number, because the mean of its divisors is an integer number (8502858).

Almost surely, 2137353230 is an apocalyptic number.

137353230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137353230 is an abundant number, since it is smaller than the sum of its proper divisors (270783954).

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

137353230 is a wasteful number, since it uses less digits than its factorization.

137353230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218041 (or 218038 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 27.

The square root of 137353230 is about 11719.7794347846. The cubic root of 137353230 is about 515.9563465865.

The spelling of 137353230 in words is "one hundred thirty-seven million, three hundred fifty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 218021 436042 654063 1090105 1308126 1526147 1962189 2180210 3052294 3270315 3924378 4578441 6540630 7630735 9156882 9810945 13735323 15261470 19621890 22892205 27470646 45784410 68676615 137353230