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137120156220 = 22357930794229
BaseRepresentation
bin111111110110011111…
…1111000101000111100
3111002221010202122202110
41333230333320220330
54221310224444340
6142554144454020
712622652045205
oct1775477705074
9432833678673
10137120156220
1153174831963
12226a931a310
13cc1305a818
1468cad825ac
153877eb4680
hex1fecff8a3c

137120156220 has 96 divisors (see below), whose sum is σ = 390066969600. Its totient is φ = 35984542464.

The previous prime is 137120156219. The next prime is 137120156267. The reversal of 137120156220 is 22651021731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1408066 + ... + 1502294.

It is an arithmetic number, because the mean of its divisors is an integer number (4063197600).

Almost surely, 2137120156220 is an apocalyptic number.

137120156220 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 137120156220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195033484800).

137120156220 is an abundant number, since it is smaller than the sum of its proper divisors (252946813380).

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

137120156220 is a wasteful number, since it uses less digits than its factorization.

137120156220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94627 (or 94625 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

Adding to 137120156220 its reverse (22651021731), we get a palindrome (159771177951).

The spelling of 137120156220 in words is "one hundred thirty-seven billion, one hundred twenty million, one hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 307 316 395 474 614 790 921 948 1185 1228 1535 1580 1842 2370 3070 3684 4605 4740 6140 9210 18420 24253 48506 72759 94229 97012 121265 145518 188458 242530 282687 291036 363795 376916 471145 485060 565374 727590 942290 1130748 1413435 1455180 1884580 2826870 5653740 7444091 14888182 22332273 28928303 29776364 37220455 44664546 57856606 74440910 86784909 89329092 111661365 115713212 144641515 148881820 173569818 223322730 289283030 347139636 433924545 446645460 578566060 867849090 1735698180 2285335937 4570671874 6856007811 9141343748 11426679685 13712015622 22853359370 27424031244 34280039055 45706718740 68560078110 137120156220