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137140462513 = 1549187347269
BaseRepresentation
bin111111110111000110…
…1010110001110110001
3111002222112222022202101
41333232031112032301
54221330424300023
6143000152020401
712623316461215
oct1775615261661
9432875868671
10137140462513
115318524131a
12226b4091701
13cc1731a492
1468cd94a945
153879b761ad
hex1fee3563b1

137140462513 has 8 divisors (see below), whose sum is σ = 137305169000. Its totient is φ = 136975857408.

The previous prime is 137140462471. The next prime is 137140462603. The reversal of 137140462513 is 315264041731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15071981824 + 122068480689 = 122768^2 + 349383^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137140462513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137140462213) 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 7 ways as a sum of consecutive naturals, for example, 2877643 + ... + 2924911.

It is an arithmetic number, because the mean of its divisors is an integer number (17163146125).

Almost surely, 2137140462513 is an apocalyptic number.

It is an amenable number.

137140462513 is a deficient number, since it is larger than the sum of its proper divisors (164706487).

137140462513 is a wasteful number, since it uses less digits than its factorization.

137140462513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50691.

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 137140462513 in words is "one hundred thirty-seven billion, one hundred forty million, four hundred sixty-two thousand, five hundred thirteen".

Divisors: 1 1549 1873 47269 2901277 73219681 88534837 137140462513