137820106 has 32 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 64867200.

The previous prime is 137820041. The next prime is 137820107. The reversal of 137820106 is 601028731.

It is not an unprimeable number, because it can be changed into a prime (137820107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294885 + ... + 295351.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^137820106 is an apocalyptic number.

137820106 is a deficient number, since it is larger than the sum of its proper divisors (81540854).

137820106 is a wasteful number, since it uses less digits than its factorization.

137820106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 137820106 is about 11739.6808304144. The cubic root of 137820106 is about 516.5402795030.

Adding to 137820106 its reverse (601028731), we get a palindrome (738848837).

The spelling of 137820106 in words is "one hundred thirty-seven million, eight hundred twenty thousand, one hundred six".