137520113 has 8 divisors (see below), whose sum is σ = 141543360. Its totient is φ = 133554960.

The previous prime is 137520037. The next prime is 137520121. The reversal of 137520113 is 311025731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137520113 - 2¹⁰ = 137519089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137522113) 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 in 7 ways as a sum of consecutive naturals, for example, 9698 + ... + 19211.

It is an arithmetic number, because the mean of its divisors is an integer number (17692920).

Almost surely, 2^137520113 is an apocalyptic number.

It is an amenable number.

137520113 is a deficient number, since it is larger than the sum of its proper divisors (4023247).

137520113 is an equidigital number, since it uses as much as digits as its factorization.

137520113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29047.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 137520113 is about 11726.8969894001. The cubic root of 137520113 is about 516.1652228648.

Adding to 137520113 its reverse (311025731), we get a palindrome (448545844).

The spelling of 137520113 in words is "one hundred thirty-seven million, five hundred twenty thousand, one hundred thirteen".