Search a number
-
+
137764057 is a prime number
BaseRepresentation
bin10000011011000…
…01110011011001
3100121020010202111
420031201303121
5240231422212
621400432321
73261655324
oct1015416331
9317203674
10137764057
11708451a2
123a1786a1
13227066c2
14144217bb
15c163ea7
hex8361cd9

137764057 has 2 divisors, whose sum is σ = 137764058. Its totient is φ = 137764056.

The previous prime is 137764051. The next prime is 137764087. The reversal of 137764057 is 750467731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106894921 + 30869136 = 10339^2 + 5556^2 .

It is a cyclic number.

It is not a de Polignac number, because 137764057 - 27 = 137763929 is a prime.

It is not a weakly prime, because it can be changed into another prime (137764051) 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, 68882028 + 68882029.

It is an arithmetic number, because the mean of its divisors is an integer number (68882029).

Almost surely, 2137764057 is an apocalyptic number.

It is an amenable number.

137764057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137764057 is an equidigital number, since it uses as much as digits as its factorization.

137764057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123480, while the sum is 40.

The square root of 137764057 is about 11737.2934273622. The cubic root of 137764057 is about 516.4702474094.

The spelling of 137764057 in words is "one hundred thirty-seven million, seven hundred sixty-four thousand, fifty-seven".