137006397413 has 4 divisors (see below), whose sum is σ = 137047905228. Its totient is φ = 136964889600.

The previous prime is 137006397403. The next prime is 137006397443. The reversal of 137006397413 is 314793600731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 314793600731 = 19 ⋅16568084249.

It can be written as a sum of positive squares in 2 ways, for example, as 65729678884 + 71276718529 = 256378^2 + 266977^2 .

It is a cyclic number.

It is not a de Polignac number, because 137006397413 - 2¹⁶ = 137006331877 is a prime.

It is a super-3 number, since 3×137006397413³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137006397403) 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, 20748956 + ... + 20755557.

It is an arithmetic number, because the mean of its divisors is an integer number (34261976307).

Almost surely, 2^137006397413 is an apocalyptic number.

It is an amenable number.

137006397413 is a deficient number, since it is larger than the sum of its proper divisors (41507815).

137006397413 is an equidigital number, since it uses as much as digits as its factorization.

137006397413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41507814.

The product of its (nonzero) digits is 285768, while the sum is 44.

The spelling of 137006397413 in words is "one hundred thirty-seven billion, six million, three hundred ninety-seven thousand, four hundred thirteen".