137521019 has 2 divisors, whose sum is σ = 137521020. Its totient is φ = 137521018.

The previous prime is 137520989. The next prime is 137521037. The reversal of 137521019 is 910125731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137521019 - 2⁸ = 137520763 is a prime.

It is a super-2 number, since 2×137521019² = 37824061333596722, which contains 22 as substring.

It is a Chen prime.

It is equal to p_7780070 and since 137521019 and 7780070 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 137520982 and 137521000.

It is not a weakly prime, because it can be changed into another prime (137521079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68760509 + 68760510.

It is an arithmetic number, because the mean of its divisors is an integer number (68760510).

Almost surely, 2^137521019 is an apocalyptic number.

137521019 is a deficient number, since it is larger than the sum of its proper divisors (1).

137521019 is an equidigital number, since it uses as much as digits as its factorization.

137521019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 137521019 is about 11726.9356184811. The cubic root of 137521019 is about 516.1663563830.

The spelling of 137521019 in words is "one hundred thirty-seven million, five hundred twenty-one thousand, nineteen".