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137141500627 = 2945717535903
BaseRepresentation
bin111111110111001000…
…1010011101011010011
3111002222121221001210001
41333232101103223103
54221331211010002
6143000230150431
712623331343615
oct1775621235323
9432877831701
10137141500627
115318589026a
12226b44b2417
13cc175c1b51
1468cdb3adb5
153879ccda87
hex1fee453ad3

137141500627 has 16 divisors (see below), whose sum is σ = 142286163840. Its totient is φ = 132025001472.

The previous prime is 137141500607. The next prime is 137141500663. The reversal of 137141500627 is 726005141731.

It is a cyclic number.

It is not a de Polignac number, because 137141500627 - 27 = 137141500499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137141500607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23229558 + ... + 23235460.

It is an arithmetic number, because the mean of its divisors is an integer number (8892885240).

Almost surely, 2137141500627 is an apocalyptic number.

137141500627 is a deficient number, since it is larger than the sum of its proper divisors (5144663213).

137141500627 is a wasteful number, since it uses less digits than its factorization.

137141500627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 137141500627 in words is "one hundred thirty-seven billion, one hundred forty-one million, five hundred thousand, six hundred twenty-seven".

Divisors: 1 29 457 1753 5903 13253 50837 171187 801121 2697671 10347959 23232509 78232459 300090811 4729017263 137141500627