137331521 has 2 divisors, whose sum is σ = 137331522. Its totient is φ = 137331520.

The previous prime is 137331517. The next prime is 137331547. The reversal of 137331521 is 125133731.

It is an a-pointer prime, because the next prime (137331547) can be obtained adding 137331521 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 38925121 = 9920^2 + 6239^2 .

It is a cyclic number.

It is not a de Polignac number, because 137331521 - 2² = 137331517 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (137331721) 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, 68665760 + 68665761.

It is an arithmetic number, because the mean of its divisors is an integer number (68665761).

Almost surely, 2^137331521 is an apocalyptic number.

It is an amenable number.

137331521 is a deficient number, since it is larger than the sum of its proper divisors (1).

137331521 is an equidigital number, since it uses as much as digits as its factorization.

137331521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 26.

The square root of 137331521 is about 11718.8532288787. The cubic root of 137331521 is about 515.9291624509.

The spelling of 137331521 in words is "one hundred thirty-seven million, three hundred thirty-one thousand, five hundred twenty-one".