137564665409 has 4 divisors (see below), whose sum is σ = 137660664516. Its totient is φ = 137468666304.

The previous prime is 137564665369. The next prime is 137564665421. The reversal of 137564665409 is 904566465731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 904566465731 = 811 ⋅1115371721.

It can be written as a sum of positive squares in 2 ways, for example, as 124453728400 + 13110937009 = 352780^2 + 114503^2 .

It is a cyclic number.

It is not a de Polignac number, because 137564665409 - 2³⁶ = 68845188673 is a prime.

It is a super-2 number, since 2×137564665409² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137564655409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47997404 + ... + 48000269.

It is an arithmetic number, because the mean of its divisors is an integer number (34415166129).

Almost surely, 2^137564665409 is an apocalyptic number.

It is an amenable number.

137564665409 is a deficient number, since it is larger than the sum of its proper divisors (95999107).

137564665409 is an equidigital number, since it uses as much as digits as its factorization.

137564665409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95999106.

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 137564665409 in words is "one hundred thirty-seven billion, five hundred sixty-four million, six hundred sixty-five thousand, four hundred nine".