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137540280 = 23356717107
BaseRepresentation
bin10000011001010…
…11001010111000
3100120210202210110
420030223022320
5240202242110
621351544320
73260034033
oct1014531270
9316722713
10137540280
1170702059
123a08b0a0
13226588a7
14143a401a
15c11ca20
hex832b2b8

137540280 has 64 divisors (see below), whose sum is σ = 418803840. Its totient is φ = 36127872.

The previous prime is 137540267. The next prime is 137540287. The reversal of 137540280 is 82045731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137540287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 16593.

It is an arithmetic number, because the mean of its divisors is an integer number (6543810).

Almost surely, 2137540280 is an apocalyptic number.

137540280 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 137540280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209401920).

137540280 is an abundant number, since it is smaller than the sum of its proper divisors (281263560).

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

137540280 is a wasteful number, since it uses less digits than its factorization.

137540280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17188 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 137540280 is about 11727.7568187612. The cubic root of 137540280 is about 516.1904531021.

The spelling of 137540280 in words is "one hundred thirty-seven million, five hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 17107 34214 51321 68428 85535 102642 136856 171070 205284 256605 342140 410568 513210 684280 1026420 1146169 2052840 2292338 3438507 4584676 5730845 6877014 9169352 11461690 13754028 17192535 22923380 27508056 34385070 45846760 68770140 137540280