137302005 has 16 divisors (see below), whose sum is σ = 225621504. Its totient is φ = 71248320.

The previous prime is 137301953. The next prime is 137302021. The reversal of 137302005 is 500203731.

It is a happy number.

It is not a de Polignac number, because 137302005 - 2¹⁰ = 137300981 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123141 + ... + 124250.

It is an arithmetic number, because the mean of its divisors is an integer number (14101344).

Almost surely, 2^137302005 is an apocalyptic number.

137302005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137302005 is a deficient number, since it is larger than the sum of its proper divisors (88319499).

137302005 is a wasteful number, since it uses less digits than its factorization.

137302005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247436.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 137302005 is about 11717.5938229655. The cubic root of 137302005 is about 515.8921977488.

Adding to 137302005 its reverse (500203731), we get a palindrome (637505736).

The spelling of 137302005 in words is "one hundred thirty-seven million, three hundred two thousand, five".