137509561 has 8 divisors (see below), whose sum is σ = 162573120. Its totient is φ = 113800848.

The previous prime is 137509543. The next prime is 137509577. The reversal of 137509561 is 165905731.

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

It is not a de Polignac number, because 137509561 - 2⁵ = 137509529 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137509561.

It is not an unprimeable number, because it can be changed into a prime (137509511) 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, 338491 + ... + 338896.

It is an arithmetic number, because the mean of its divisors is an integer number (20321640).

Almost surely, 2^137509561 is an apocalyptic number.

It is an amenable number.

137509561 is a deficient number, since it is larger than the sum of its proper divisors (25063559).

137509561 is an equidigital number, since it uses as much as digits as its factorization.

137509561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677423.

The product of its (nonzero) digits is 28350, while the sum is 37.

The square root of 137509561 is about 11726.4470748816. The cubic root of 137509561 is about 516.1520206390.

The spelling of 137509561 in words is "one hundred thirty-seven million, five hundred nine thousand, five hundred sixty-one".