137504105 has 8 divisors (see below), whose sum is σ = 165082632. Its totient is φ = 109951488.

The previous prime is 137504089. The next prime is 137504111. The reversal of 137504105 is 501405731.

It can be written as a sum of positive squares in 4 ways, for example, as 3013696 + 134490409 = 1736^2 + 11597^2 .

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 137504105 - 2⁴ = 137504089 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8249 + ... + 18521.

It is an arithmetic number, because the mean of its divisors is an integer number (20635329).

Almost surely, 2^137504105 is an apocalyptic number.

It is an amenable number.

137504105 is a deficient number, since it is larger than the sum of its proper divisors (27578527).

137504105 is a wasteful number, since it uses less digits than its factorization.

137504105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 137504105 is about 11726.2144360403. The cubic root of 137504105 is about 516.1451940527.

Adding to 137504105 its reverse (501405731), we get a palindrome (638909836).

The spelling of 137504105 in words is "one hundred thirty-seven million, five hundred four thousand, one hundred five".