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137741560140 = 223510883210943
BaseRepresentation
bin1000000001001000001…
…0010110100101001100
3111011112110001020200110
42000102002112211030
54224043314411030
6143135543400020
712644235641352
oct2002202264514
9434473036613
10137741560140
1153463579918
1222841453010
13ccb1a0b852
1469496db7d2
1538b280e1b0
hex201209694c

137741560140 has 48 divisors (see below), whose sum is σ = 385713635328. Its totient is φ = 36727533504.

The previous prime is 137741560093. The next prime is 137741560147. The reversal of 137741560140 is 41065147731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137741560147) 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, 547509 + ... + 758451.

It is an arithmetic number, because the mean of its divisors is an integer number (8035700736).

Almost surely, 2137741560140 is an apocalyptic number.

137741560140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137741560140 is an abundant number, since it is smaller than the sum of its proper divisors (247972075188).

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

137741560140 is a wasteful number, since it uses less digits than its factorization.

137741560140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221838 (or 221836 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 137741560140 in words is "one hundred thirty-seven billion, seven hundred forty-one million, five hundred sixty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 10883 21766 32649 43532 54415 65298 108830 130596 163245 210943 217660 326490 421886 632829 652980 843772 1054715 1265658 2109430 2531316 3164145 4218860 6328290 12656580 2295692669 4591385338 6887078007 9182770676 11478463345 13774156014 22956926690 27548312028 34435390035 45913853380 68870780070 137741560140