137013409 has 4 divisors (see below), whose sum is σ = 147552916. Its totient is φ = 126473904.

The previous prime is 137013403. The next prime is 137013439. The reversal of 137013409 is 904310731.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 24059025 + 112954384 = 4905^2 + 10628^2 .

It is a cyclic number.

It is not a de Polignac number, because 137013409 - 2⁵ = 137013377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137013403) 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, 5269734 + ... + 5269759.

It is an arithmetic number, because the mean of its divisors is an integer number (36888229).

Almost surely, 2^137013409 is an apocalyptic number.

It is an amenable number.

137013409 is a deficient number, since it is larger than the sum of its proper divisors (10539507).

137013409 is a wasteful number, since it uses less digits than its factorization.

137013409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539506.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 137013409 is about 11705.2727007960. The cubic root of 137013409 is about 515.5304917893.

The spelling of 137013409 in words is "one hundred thirty-seven million, thirteen thousand, four hundred nine".