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137275372901 is a prime number
BaseRepresentation
bin111111111011000111…
…1111111010101100101
3111010022221211111000102
41333312033333111211
54222114443413101
6143021411353445
712626545263032
oct1776617772545
9433287744012
10137275372901
1153244407507
12227312b2885
13cc39265004
146903828389
15388692486b
hex1ff63ff565

137275372901 has 2 divisors, whose sum is σ = 137275372902. Its totient is φ = 137275372900.

The previous prime is 137275372891. The next prime is 137275372931. The reversal of 137275372901 is 109273572731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112208250625 + 25067122276 = 334975^2 + 158326^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137275372901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137275372931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68637686450 + 68637686451.

It is an arithmetic number, because the mean of its divisors is an integer number (68637686451).

Almost surely, 2137275372901 is an apocalyptic number.

It is an amenable number.

137275372901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137275372901 is an equidigital number, since it uses as much as digits as its factorization.

137275372901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 555660, while the sum is 47.

The spelling of 137275372901 in words is "one hundred thirty-seven billion, two hundred seventy-five million, three hundred seventy-two thousand, nine hundred one".