137301606 has 48 divisors (see below), whose sum is σ = 325656240. Its totient is φ = 41549760.

The previous prime is 137301599. The next prime is 137301607. The reversal of 137301606 is 606103731.

It is a self number, because there is not a number n which added to its sum of digits gives 137301606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137301607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9465 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (6784505).

Almost surely, 2^137301606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137301606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162828120).

137301606 is an abundant number, since it is smaller than the sum of its proper divisors (188354634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137301606 is a wasteful number, since it uses less digits than its factorization.

137301606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 137301606 is about 11717.5767972734. The cubic root of 137301606 is about 515.8916980203.

The spelling of 137301606 in words is "one hundred thirty-seven million, three hundred one thousand, six hundred six".