137610045 has 12 divisors (see below), whose sum is σ = 238524156. Its totient is φ = 73392000.

The previous prime is 137610043. The next prime is 137610047. The reversal of 137610045 is 540016731.

137610045 is a `hidden beast` number, since 1 + 3 + 7 + 610 + 0 + 45 = 666.

137610045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137610043) and next prime (137610047).

It can be written as a sum of positive squares in 2 ways, for example, as 30239001 + 107371044 = 5499^2 + 10362^2 .

It is not a de Polignac number, because 137610045 - 2¹ = 137610043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137610041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1528956 + ... + 1529045.

It is an arithmetic number, because the mean of its divisors is an integer number (19877013).

Almost surely, 2^137610045 is an apocalyptic number.

137610045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137610045 is a deficient number, since it is larger than the sum of its proper divisors (100914111).

137610045 is a wasteful number, since it uses less digits than its factorization.

137610045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058012 (or 3058009 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 137610045 is about 11730.7307956495. The cubic root of 137610045 is about 516.2777146661.

Adding to 137610045 its reverse (540016731), we get a palindrome (677626776).

The spelling of 137610045 in words is "one hundred thirty-seven million, six hundred ten thousand, forty-five".