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137042074921 is a prime number
BaseRepresentation
bin111111110100001011…
…0000001110100101001
3111002201200211201100111
41333220112001310221
54221130232344141
6142542315134321
712621013263013
oct1775026016451
9432650751314
10137042074921
1153134751264
12226871443a1
13cbccb1c87b
1468c08591b3
1538711de381
hex1fe8581d29

137042074921 has 2 divisors, whose sum is σ = 137042074922. Its totient is φ = 137042074920.

The previous prime is 137042074913. The next prime is 137042074933. The reversal of 137042074921 is 129470240731.

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., 91346599696 + 45695475225 = 302236^2 + 213765^2 .

It is a cyclic number.

It is not a de Polignac number, because 137042074921 - 23 = 137042074913 is a prime.

It is not a weakly prime, because it can be changed into another prime (137042174921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68521037460 + 68521037461.

It is an arithmetic number, because the mean of its divisors is an integer number (68521037461).

Almost surely, 2137042074921 is an apocalyptic number.

It is an amenable number.

137042074921 is a deficient number, since it is larger than the sum of its proper divisors (1).

137042074921 is an equidigital number, since it uses as much as digits as its factorization.

137042074921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 137042074921 in words is "one hundred thirty-seven billion, forty-two million, seventy-four thousand, nine hundred twenty-one".