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137097660 = 22357449727
BaseRepresentation
bin10000010101111…
…11000110111100
3100112222021122010
420022333012330
5240044111120
621334251220
73253211430
oct1012770674
9315867563
10137097660
117042a557
1239ab6b10
132253229b
14142ca9c0
15c0817e0
hex82bf1bc

137097660 has 96 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 31223808.

The previous prime is 137097629. The next prime is 137097661. The reversal of 137097660 is 66790731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137097661) 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, 188217 + ... + 188943.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2137097660 is an apocalyptic number.

137097660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137097660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

137097660 is an abundant number, since it is smaller than the sum of its proper divisors (303196740).

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

137097660 is a wasteful number, since it uses less digits than its factorization.

137097660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 137097660 is about 11708.8709959586. The cubic root of 137097660 is about 515.6361385289.

The spelling of 137097660 in words is "one hundred thirty-seven million, ninety-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 449 727 898 1347 1454 1796 2181 2245 2694 2908 3143 3635 4362 4490 5089 5388 6286 6735 7270 8724 8980 9429 10178 10905 12572 13470 14540 15267 15715 18858 20356 21810 25445 26940 30534 31430 37716 43620 47145 50890 61068 62860 76335 94290 101780 152670 188580 305340 326423 652846 979269 1305692 1632115 1958538 2284961 3264230 3917076 4569922 4896345 6528460 6854883 9139844 9792690 11424805 13709766 19585380 22849610 27419532 34274415 45699220 68548830 137097660