137210045 has 24 divisors (see below), whose sum is σ = 194695128. Its totient is φ = 92534400.

The previous prime is 137209979. The next prime is 137210063. The reversal of 137210045 is 540012731.

137210045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1207801 + 136002244 = 1099^2 + 11662^2 .

It is not a de Polignac number, because 137210045 - 2¹² = 137205949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137210045.

It is a congruent 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, 10355 + ... + 19535.

It is an arithmetic number, because the mean of its divisors is an integer number (8112297).

Almost surely, 2^137210045 is an apocalyptic number.

It is an amenable number.

137210045 is a deficient number, since it is larger than the sum of its proper divisors (57485083).

137210045 is an equidigital number, since it uses as much as digits as its factorization.

137210045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261 (or 9254 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 137210045 is about 11713.6691518926. The cubic root of 137210045 is about 515.7769966101.

Adding to 137210045 its reverse (540012731), we get a palindrome (677222776).

The spelling of 137210045 in words is "one hundred thirty-seven million, two hundred ten thousand, forty-five".