137533021 has 2 divisors, whose sum is σ = 137533022. Its totient is φ = 137533020.

The previous prime is 137533007. The next prime is 137533061. The reversal of 137533021 is 120335731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106296100 + 31236921 = 10310^2 + 5589^2 .

It is a cyclic number.

It is not a de Polignac number, because 137533021 - 2¹⁷ = 137401949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137533061) 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, 68766510 + 68766511.

It is an arithmetic number, because the mean of its divisors is an integer number (68766511).

Almost surely, 2^137533021 is an apocalyptic number.

It is an amenable number.

137533021 is a deficient number, since it is larger than the sum of its proper divisors (1).

137533021 is an equidigital number, since it uses as much as digits as its factorization.

137533021 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 25.

The square root of 137533021 is about 11727.4473352047. The cubic root of 137533021 is about 516.1813719020.

Adding to 137533021 its reverse (120335731), we get a palindrome (257868752).

The spelling of 137533021 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, twenty-one".