180413137 has 2 divisors, whose sum is σ = 180413138. Its totient is φ = 180413136.

The previous prime is 180413131. The next prime is 180413141. The reversal of 180413137 is 731314081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158734801 + 21678336 = 12599^2 + 4656^2 .

It is an emirp because it is prime and its reverse (731314081) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180413137 is a prime.

It is not a weakly prime, because it can be changed into another prime (180413131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90206568 + 90206569.

It is an arithmetic number, because the mean of its divisors is an integer number (90206569).

Almost surely, 2^180413137 is an apocalyptic number.

It is an amenable number.

180413137 is a deficient number, since it is larger than the sum of its proper divisors (1).

180413137 is an equidigital number, since it uses as much as digits as its factorization.

180413137 is an evil number, because the sum of its binary digits is even.

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

The square root of 180413137 is about 13431.7957474047. The cubic root of 180413137 is about 565.0532614838.

It can be divided in two parts, 1804 and 13137, that added together give a palindrome (14941).

The spelling of 180413137 in words is "one hundred eighty million, four hundred thirteen thousand, one hundred thirty-seven".