137345166 has 64 divisors (see below), whose sum is σ = 351682560. Its totient is φ = 38918880.

The previous prime is 137345137. The next prime is 137345171. The reversal of 137345166 is 661543731.

137345166 is a `hidden beast` number, since 137 + 3 + 4 + 516 + 6 = 666.

137345166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137345166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46576 + ... + 49436.

It is an arithmetic number, because the mean of its divisors is an integer number (5495040).

Almost surely, 2^137345166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137345166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175841280).

137345166 is an abundant number, since it is smaller than the sum of its proper divisors (214337394).

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

137345166 is a wasteful number, since it uses less digits than its factorization.

137345166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 3000 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 137345166 is about 11719.4353959566. The cubic root of 137345166 is about 515.9462491333.

Adding to 137345166 its reverse (661543731), we get a palindrome (798888897).

The spelling of 137345166 in words is "one hundred thirty-seven million, three hundred forty-five thousand, one hundred sixty-six".