137810413 has 8 divisors (see below), whose sum is σ = 149051448. Its totient is φ = 126660864.

The previous prime is 137810341. The next prime is 137810417. The reversal of 137810413 is 314018731.

It can be written as a sum of positive squares in 4 ways, for example, as 2832489 + 134977924 = 1683^2 + 11618^2 .

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 137810413 - 2¹⁷ = 137679341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137810417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19720 + ... + 25777.

It is an arithmetic number, because the mean of its divisors is an integer number (18631431).

Almost surely, 2^137810413 is an apocalyptic number.

137810413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137810413 is a deficient number, since it is larger than the sum of its proper divisors (11241035).

137810413 is a wasteful number, since it uses less digits than its factorization.

137810413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45743.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 137810413 is about 11739.2679925113. The cubic root of 137810413 is about 516.5281696533.

The spelling of 137810413 in words is "one hundred thirty-seven million, eight hundred ten thousand, four hundred thirteen".