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137273693 is a prime number
BaseRepresentation
bin10000010111010…
…10000101011101
3100120022020002212
420023222011131
5240120224233
621342130205
73254543564
oct1013520535
9316266085
10137273693
117053a837
1239b80965
132259444b
1414334bdb
15c0b8a48
hex82ea15d

137273693 has 2 divisors, whose sum is σ = 137273694. Its totient is φ = 137273692.

The previous prime is 137273681. The next prime is 137273701. The reversal of 137273693 is 396372731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69672409 + 67601284 = 8347^2 + 8222^2 .

It is a cyclic number.

It is not a de Polignac number, because 137273693 - 24 = 137273677 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137273693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137273093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68636846 + 68636847.

It is an arithmetic number, because the mean of its divisors is an integer number (68636847).

Almost surely, 2137273693 is an apocalyptic number.

It is an amenable number.

137273693 is a deficient number, since it is larger than the sum of its proper divisors (1).

137273693 is an equidigital number, since it uses as much as digits as its factorization.

137273693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 142884, while the sum is 41.

The square root of 137273693 is about 11716.3856628228. The cubic root of 137273693 is about 515.8567359119.

The spelling of 137273693 in words is "one hundred thirty-seven million, two hundred seventy-three thousand, six hundred ninety-three".