137309106 has 48 divisors (see below), whose sum is σ = 311641344. Its totient is φ = 40260000.

The previous prime is 137309099. The next prime is 137309147. The reversal of 137309106 is 601903731.

137309106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19456 + ... + 25556.

It is an arithmetic number, because the mean of its divisors is an integer number (6492528).

Almost surely, 2^137309106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137309106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155820672).

137309106 is an abundant number, since it is smaller than the sum of its proper divisors (174332238).

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

137309106 is a wasteful number, since it uses less digits than its factorization.

137309106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6159 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137309106 is about 11717.8968249426. The cubic root of 137309106 is about 515.9010912517.

The spelling of 137309106 in words is "one hundred thirty-seven million, three hundred nine thousand, one hundred six".