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137081340 = 223251169233
BaseRepresentation
bin10000010101110…
…11000111111100
3100112221110020200
420022323013330
5240043100330
621334043500
73253113024
oct1012730774
9315843220
10137081340
1170419270
1239aa9590
1322527a26
14142c4a84
15c07ba60
hex82bb1fc

137081340 has 72 divisors (see below), whose sum is σ = 453621168. Its totient is φ = 33231360.

The previous prime is 137081293. The next prime is 137081359. The reversal of 137081340 is 43180731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32637 + ... + 36596.

It is an arithmetic number, because the mean of its divisors is an integer number (6300294).

Almost surely, 2137081340 is an apocalyptic number.

137081340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137081340 is an abundant number, since it is smaller than the sum of its proper divisors (316539828).

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

137081340 is a wasteful number, since it uses less digits than its factorization.

137081340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69259 (or 69254 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137081340 is about 11708.1740677187. The cubic root of 137081340 is about 515.6156774072.

The spelling of 137081340 in words is "one hundred thirty-seven million, eighty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 69233 138466 207699 276932 346165 415398 623097 692330 761563 830796 1038495 1246194 1384660 1523126 2076990 2284689 2492388 3046252 3115485 3807815 4153980 4569378 6230970 6854067 7615630 9138756 11423445 12461940 13708134 15231260 22846890 27416268 34270335 45693780 68540670 137081340