137520541 has 2 divisors, whose sum is σ = 137520542. Its totient is φ = 137520540.

The previous prime is 137520511. The next prime is 137520569. The reversal of 137520541 is 145025731.

It is a happy number.

It is an a-pointer prime, because the next prime (137520569) can be obtained adding 137520541 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 134444025 + 3076516 = 11595^2 + 1754^2 .

It is a cyclic number.

It is not a de Polignac number, because 137520541 - 2¹⁵ = 137487773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137520511) 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, 68760270 + 68760271.

It is an arithmetic number, because the mean of its divisors is an integer number (68760271).

Almost surely, 2^137520541 is an apocalyptic number.

It is an amenable number.

137520541 is a deficient number, since it is larger than the sum of its proper divisors (1).

137520541 is an equidigital number, since it uses as much as digits as its factorization.

137520541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 137520541 is about 11726.9152380325. The cubic root of 137520541 is about 516.1657583464.

The spelling of 137520541 in words is "one hundred thirty-seven million, five hundred twenty thousand, five hundred forty-one".