137541793 has 2 divisors, whose sum is σ = 137541794. Its totient is φ = 137541792.

The previous prime is 137541749. The next prime is 137541799. The reversal of 137541793 is 397145731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105822369 + 31719424 = 10287^2 + 5632^2 .

It is a cyclic number.

It is not a de Polignac number, because 137541793 - 2⁹ = 137541281 is a prime.

It is not a weakly prime, because it can be changed into another prime (137541799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68770896 + 68770897.

It is an arithmetic number, because the mean of its divisors is an integer number (68770897).

Almost surely, 2^137541793 is an apocalyptic number.

It is an amenable number.

137541793 is a deficient number, since it is larger than the sum of its proper divisors (1).

137541793 is an equidigital number, since it uses as much as digits as its factorization.

137541793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 79380, while the sum is 40.

The square root of 137541793 is about 11727.8213236730. The cubic root of 137541793 is about 516.1923458647.

The spelling of 137541793 in words is "one hundred thirty-seven million, five hundred forty-one thousand, seven hundred ninety-three".