137528653 has 2 divisors, whose sum is σ = 137528654. Its totient is φ = 137528652.

The previous prime is 137528641. The next prime is 137528711. The reversal of 137528653 is 356825731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124590244 + 12938409 = 11162^2 + 3597^2 .

It is an emirp because it is prime and its reverse (356825731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137528653 - 2⁵ = 137528621 is a prime.

It is equal to p_7780468 and since 137528653 and 7780468 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137520653) 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, 68764326 + 68764327.

It is an arithmetic number, because the mean of its divisors is an integer number (68764327).

Almost surely, 2^137528653 is an apocalyptic number.

It is an amenable number.

137528653 is a deficient number, since it is larger than the sum of its proper divisors (1).

137528653 is an equidigital number, since it uses as much as digits as its factorization.

137528653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 151200, while the sum is 40.

The square root of 137528653 is about 11727.2611039407. The cubic root of 137528653 is about 516.1759072650.

The spelling of 137528653 in words is "one hundred thirty-seven million, five hundred twenty-eight thousand, six hundred fifty-three".