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137267381677 is a prime number
BaseRepresentation
bin111111111010111000…
…1100000010110101101
3111010022101210111010011
41333311301200112231
54222110422203202
6143020524213221
712626420331016
oct1776561402655
9433271714104
10137267381677
115323a949598
122272a69a211
13cc376c788a
14690274800d
153885d96bd7
hex1ff5c605ad

137267381677 has 2 divisors, whose sum is σ = 137267381678. Its totient is φ = 137267381676.

The previous prime is 137267381653. The next prime is 137267381707. The reversal of 137267381677 is 776183762731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119341920681 + 17925460996 = 345459^2 + 133886^2 .

It is a cyclic number.

It is not a de Polignac number, because 137267381677 - 27 = 137267381549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137267382677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68633690838 + 68633690839.

It is an arithmetic number, because the mean of its divisors is an integer number (68633690839).

Almost surely, 2137267381677 is an apocalyptic number.

It is an amenable number.

137267381677 is a deficient number, since it is larger than the sum of its proper divisors (1).

137267381677 is an equidigital number, since it uses as much as digits as its factorization.

137267381677 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12446784, while the sum is 58.

The spelling of 137267381677 in words is "one hundred thirty-seven billion, two hundred sixty-seven million, three hundred eighty-one thousand, six hundred seventy-seven".